257033841675625 has 225 divisors, whose sum is σ = 398236349559279. Its totient is φ = 165360732096000.

The previous prime is 257033841675623. The next prime is 257033841675671. The reversal of 257033841675625 is 526576148330752.

The square root of 257033841675625 is 16032275.

It is a perfect power (a square), and thus also a powerful number.

257033841675625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 37 ways, for example, as 69295285735641 + 187738555939984 = 8324379^2 + 13701772^2 .

It is not a de Polignac number, because 257033841675625 - 2¹ = 257033841675623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257033841675623) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 810832307967 + ... + 810832308283.

Almost surely, 2^{257033841675625} is an apocalyptic number.

257033841675625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

257033841675625 is the 16032275-th square number.

257033841675625 is the 8016138-th centered octagonal number.

It is an amenable number.

257033841675625 is a deficient number, since it is larger than the sum of its proper divisors (141202507883654).

257033841675625 is an frugal number, since it uses more digits than its factorization.

257033841675625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 254016000, while the sum is 64.

The spelling of 257033841675625 in words is "two hundred fifty-seven trillion, thirty-three billion, eight hundred forty-one million, six hundred seventy-five thousand, six hundred twenty-five".