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2251255233513 = 31121315721114401
BaseRepresentation
bin100000110000101001010…
…001001011101111101001
321222012212211220011202110
4200300221101023233221
5243341032314433023
64442113512352533
7321435126515526
oct40605121135751
97865784804673
102251255233513
1179882a986600
123043849a5749
131343a56b5c90
147ad65c8c14d
153d8610e2a93
hex20c2944bbe9

2251255233513 has 96 divisors (see below), whose sum is σ = 3592985151616. Its totient is φ = 1245404160000.

The previous prime is 2251255233499. The next prime is 2251255233533. The reversal of 2251255233513 is 3153325521522.

It is not a de Polignac number, because 2251255233513 - 28 = 2251255233257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2251255233533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 156319113 + ... + 156333513.

Almost surely, 22251255233513 is an apocalyptic number.

It is an amenable number.

2251255233513 is a deficient number, since it is larger than the sum of its proper divisors (1341729918103).

2251255233513 is a wasteful number, since it uses less digits than its factorization.

2251255233513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14807 (or 14796 counting only the distinct ones).

The product of its digits is 270000, while the sum is 39.

The spelling of 2251255233513 in words is "two trillion, two hundred fifty-one billion, two hundred fifty-five million, two hundred thirty-three thousand, five hundred thirteen".

Divisors: 1 3 11 13 33 39 121 143 157 211 363 429 471 633 1573 1727 2041 2321 2743 4719 5181 6123 6963 8229 14401 18997 22451 25531 30173 33127 43203 56991 67353 76593 90519 99381 158411 187213 246961 331903 364397 430651 475233 561639 740883 995709 1093191 1291953 1742521 2059343 2260957 3038611 4008367 4737161 5227563 6178029 6782871 9115833 12025101 14211483 22652773 24870527 29392441 33424721 39501943 52108771 67958319 74611581 88177323 100274163 118505829 156326313 273575797 323316851 367671931 434521373 477061927 820727391 969950553 1103015793 1303564119 1431185781 3556485361 4779735103 5247681197 6201805051 10669456083 14339205309 15743043591 18605415153 57724493167 68219855561 173173479501 204659566683 750418411171 2251255233513