257057511572561 has 16 divisors (see below), whose sum is σ = 300174414299136. Its totient is φ = 215543701692816.

The previous prime is 257057511572549. The next prime is 257057511572567. The reversal of 257057511572561 is 165275115750752.

It is a happy number.

It is not a de Polignac number, because 257057511572561 - 2²² = 257057507378257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 257057511572561.

It is not an unprimeable number, because it can be changed into a prime (257057511572567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186503081 + ... + 187876326.

It is an arithmetic number, because the mean of its divisors is an integer number (18760900893696).

Almost surely, 2^{257057511572561} is an apocalyptic number.

It is an amenable number.

257057511572561 is a deficient number, since it is larger than the sum of its proper divisors (43116902726575).

257057511572561 is a wasteful number, since it uses less digits than its factorization.

257057511572561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374381548.

The product of its (nonzero) digits is 25725000, while the sum is 59.

The spelling of 257057511572561 in words is "two hundred fifty-seven trillion, fifty-seven billion, five hundred eleven million, five hundred seventy-two thousand, five hundred sixty-one".