257607130 has 96 divisors (see below), whose sum is σ = 559016640. Its totient is φ = 84522240.

The previous prime is 257607121. The next prime is 257607131. The reversal of 257607130 is 31706752.

It is a super-2 number, since 2×257607130² = 132722866853673800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257607092 and 257607101.

It is not an unprimeable number, because it can be changed into a prime (257607131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1105494 + ... + 1105726.

It is an arithmetic number, because the mean of its divisors is an integer number (5823090).

Almost surely, 2^257607130 is an apocalyptic number.

257607130 is an abundant number, since it is smaller than the sum of its proper divisors (301409510).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257607130 is a wasteful number, since it uses less digits than its factorization.

257607130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 257607130 is about 16050.1442361120. The cubic root of 257607130 is about 636.2863790131.

The spelling of 257607130 in words is "two hundred fifty-seven million, six hundred seven thousand, one hundred thirty".