257152657121 has 2 divisors, whose sum is σ = 257152657122. Its totient is φ = 257152657120.

The previous prime is 257152657109. The next prime is 257152657129. The reversal of 257152657121 is 121756251752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 256724622400 + 428034721 = 506680^2 + 20689^2 .

It is a cyclic number.

It is not a de Polignac number, because 257152657121 - 2³⁴ = 239972787937 is a prime.

It is a super-2 number, since 2×257152657121² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257152657129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128576328560 + 128576328561.

It is an arithmetic number, because the mean of its divisors is an integer number (128576328561).

Almost surely, 2^257152657121 is an apocalyptic number.

It is an amenable number.

257152657121 is a deficient number, since it is larger than the sum of its proper divisors (1).

257152657121 is an equidigital number, since it uses as much as digits as its factorization.

257152657121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 294000, while the sum is 44.

The spelling of 257152657121 in words is "two hundred fifty-seven billion, one hundred fifty-two million, six hundred fifty-seven thousand, one hundred twenty-one".