257205718625 has 16 divisors (see below), whose sum is σ = 321190281984. Its totient is φ = 205637943600.

The previous prime is 257205718589. The next prime is 257205718643. The reversal of 257205718625 is 526817502752.

It is not a de Polignac number, because 257205718625 - 2¹² = 257205714529 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428969 + ... + 835718.

It is an arithmetic number, because the mean of its divisors is an integer number (20074392624).

Almost surely, 2^257205718625 is an apocalyptic number.

257205718625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257205718625 is a deficient number, since it is larger than the sum of its proper divisors (63984563359).

257205718625 is a wasteful number, since it uses less digits than its factorization.

257205718625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266329 (or 1266319 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 50.

The spelling of 257205718625 in words is "two hundred fifty-seven billion, two hundred five million, seven hundred eighteen thousand, six hundred twenty-five".