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523250052325 = 527111323909091
BaseRepresentation
bin1111001110101000010…
…00100010110011100101
31212000121012021202010121
413213110020202303211
532033104003133300
61040213332321541
752542424026430
oct7472410426345
91760535252117
10523250052325
11191a00016980
12854ab4732b1
133a45ac6a3a0
141b47b002817
15d926d8781a
hex79d4222ce5

523250052325 has 96 divisors (see below), whose sum is σ = 909033818112. Its totient is φ = 287999712000.

The previous prime is 523250052301. The next prime is 523250052329.

523250052325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 523250052325 - 25 = 523250052293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523250052329) 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, 121030 + ... + 1030120.

It is an arithmetic number, because the mean of its divisors is an integer number (9469102272).

Almost surely, 2523250052325 is an apocalyptic number.

523250052325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

523250052325 is a deficient number, since it is larger than the sum of its proper divisors (385783765787).

523250052325 is a wasteful number, since it uses less digits than its factorization.

523250052325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909155 (or 909150 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 34.

It can be divided in two parts, 5232500 and 52325, that multiplied together give a square (273790562500 = 5232502).

The spelling of 523250052325 in words is "five hundred twenty-three billion, two hundred fifty million, fifty-two thousand, three hundred twenty-five".

Divisors: 1 5 7 11 13 23 25 35 55 65 77 91 115 143 161 175 253 275 299 325 385 455 575 715 805 1001 1265 1495 1771 1925 2093 2275 3289 3575 4025 5005 6325 7475 8855 10465 16445 23023 25025 44275 52325 82225 115115 575575 909091 4545455 6363637 10000001 11818183 20909093 22727275 31818185 50000005 59090915 70000007 82727281 104545465 130000013 146363651 159090925 230000023 250000025 271818209 295454575 350000035 413636405 522727325 650000065 731818255 910000091 1150000115 1359091045 1610000161 1750000175 1902727463 2068182025 2990000299 3250000325 3659091275 4550000455 5750000575 6795455225 8050000805 9513637315 14950001495 20930002093 22750002275 40250004025 47568186575 74750007475 104650010465 523250052325