257339530825 has 96 divisors (see below), whose sum is σ = 361273127040. Its totient is φ = 180520704000.

The previous prime is 257339530807. The next prime is 257339530831. The reversal of 257339530825 is 528035933752.

It is not a de Polignac number, because 257339530825 - 2⁷ = 257339530697 is a prime.

It is a super-2 number, since 2×257339530825² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 244851550 + ... + 244852600.

It is an arithmetic number, because the mean of its divisors is an integer number (3763261740).

Almost surely, 2^257339530825 is an apocalyptic number.

257339530825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257339530825 is a deficient number, since it is larger than the sum of its proper divisors (103933596215).

257339530825 is a wasteful number, since it uses less digits than its factorization.

257339530825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 52.

The spelling of 257339530825 in words is "two hundred fifty-seven billion, three hundred thirty-nine million, five hundred thirty thousand, eight hundred twenty-five".