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530503260404013 = 321341533541589273
BaseRepresentation
bin111100010011111010110101…
…0011000110111100100101101
32120120100121122100111210122100
41320213311222120313210231
51024013231134130412023
65120141500002005313
7216512411224402521
oct17047655230674455
92516317570453570
10530503260404013
11144042195341096
124b5bb104646839
1319a0232057b340
1495006cda59d81
15414e91968ac43
hex1e27d6a63792d

530503260404013 has 96 divisors (see below), whose sum is σ = 861549579098208. Its totient is φ = 312402786508800.

The previous prime is 530503260403927. The next prime is 530503260404059. The reversal of 530503260404013 is 310404062305035.

530503260404013 is a `hidden beast` number, since 5 + 3 + 0 + 5 + 0 + 3 + 2 + 604 + 0 + 40 + 1 + 3 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 222989053421124 + 307514206982889 = 14932818^2 + 17536083^2 .

It is a de Polignac number, because none of the positive numbers 2k-530503260404013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530503260404113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 899972745 + ... + 900562017.

It is an arithmetic number, because the mean of its divisors is an integer number (8974474782273).

Almost surely, 2530503260404013 is an apocalyptic number.

530503260404013 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

530503260404013 is a deficient number, since it is larger than the sum of its proper divisors (331046318694195).

530503260404013 is a wasteful number, since it uses less digits than its factorization.

530503260404013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592927 (or 592924 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 530503260404013 in words is "five hundred thirty trillion, five hundred three billion, two hundred sixty million, four hundred four thousand, thirteen".

Divisors: 1 3 9 13 39 41 53 117 123 159 369 477 533 689 1599 2067 2173 3541 4797 6201 6519 10623 19557 28249 31869 46033 84747 138099 145181 187673 254241 414297 435543 563019 589273 1306629 1689057 1767819 1887353 2439749 5303457 5662059 7319247 7660549 7694593 16986177 21957741 22981647 23083779 24160193 31231469 68944941 69251337 72480579 93694407 100029709 217441737 281083221 300089127 314082509 406009097 900267381 942247527 1218027291 1280490229 2086615693 2826742581 3654081873 3841470687 6259847079 11524412061 16646372977 18779541237 27126004009 49939118931 81378012027 85551243413 110590631729 149817356793 244134036081 256653730239 331771895187 769961190717 995315685561 1112166164369 1437678212477 3336498493107 4313034637431 4534215900889 10009495479321 12939103912293 13602647702667 40807943108001 58944806711557 176834420134671 530503260404013