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252911575621121 is a prime number
BaseRepresentation
bin111001100000010110010000…
…100111111101111000000001
31020011111002222112222201212212
4321200112100213331320001
5231122200401324333441
62253521550205031505
7104162154420342044
oct7140262047757001
91204432875881785
10252911575621121
117364921905753a
1224447b5ab55595
13ab175c7c6ac71
144664db25b2c5b
151e38c2559beeb
hexe605909fde01

252911575621121 has 2 divisors, whose sum is σ = 252911575621122. Its totient is φ = 252911575621120.

The previous prime is 252911575621037. The next prime is 252911575621213. The reversal of 252911575621121 is 121126575119252.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 252585414700096 + 326160921025 = 15892936^2 + 571105^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-252911575621121 is a prime.

It is a super-2 number, since 2×2529115756211212 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 252911575621121.

It is not a weakly prime, because it can be changed into another prime (252911575621421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126455787810560 + 126455787810561.

It is an arithmetic number, because the mean of its divisors is an integer number (126455787810561).

Almost surely, 2252911575621121 is an apocalyptic number.

It is an amenable number.

252911575621121 is a deficient number, since it is larger than the sum of its proper divisors (1).

252911575621121 is an equidigital number, since it uses as much as digits as its factorization.

252911575621121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 756000, while the sum is 50.

The spelling of 252911575621121 in words is "two hundred fifty-two trillion, nine hundred eleven billion, five hundred seventy-five million, six hundred twenty-one thousand, one hundred twenty-one".