257172652 has 48 divisors (see below), whose sum is σ = 510289920. Its totient is φ = 112348800.

The previous prime is 257172647. The next prime is 257172661. The reversal of 257172652 is 256271752.

It is a super-2 number, since 2×257172652² = 132275545873426208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227224 + ... + 228352.

It is an arithmetic number, because the mean of its divisors is an integer number (10631040).

Almost surely, 2^257172652 is an apocalyptic number.

257172652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

257172652 is a deficient number, since it is larger than the sum of its proper divisors (253117268).

257172652 is a wasteful number, since it uses less digits than its factorization.

257172652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1340 counting only the distinct ones).

The product of its digits is 58800, while the sum is 37.

The square root of 257172652 is about 16036.6035057303. The cubic root of 257172652 is about 635.9284593132.

The spelling of 257172652 in words is "two hundred fifty-seven million, one hundred seventy-two thousand, six hundred fifty-two".