257541625 has 16 divisors (see below), whose sum is σ = 350633088. Its totient is φ = 187302000.

The previous prime is 257541611. The next prime is 257541673. The reversal of 257541625 is 526145752.

It is not a de Polignac number, because 257541625 - 2⁹ = 257541113 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, 92277 + ... + 95026.

It is an arithmetic number, because the mean of its divisors is an integer number (21914568).

Almost surely, 2^257541625 is an apocalyptic number.

257541625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257541625 is a deficient number, since it is larger than the sum of its proper divisors (93091463).

257541625 is a wasteful number, since it uses less digits than its factorization.

257541625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187329 (or 187319 counting only the distinct ones).

The product of its digits is 84000, while the sum is 37.

The square root of 257541625 is about 16048.1034705039. The cubic root of 257541625 is about 636.2324422651.

The spelling of 257541625 in words is "two hundred fifty-seven million, five hundred forty-one thousand, six hundred twenty-five".