257532913 has 16 divisors (see below), whose sum is σ = 289359360. Its totient is φ = 227145600.

The previous prime is 257532907. The next prime is 257532917. The reversal of 257532913 is 319235752.

It is the 6552-nd star number.

It is a de Polignac number, because none of the positive numbers 2^k-257532913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257532917) 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 15 ways as a sum of consecutive naturals, for example, 194293 + ... + 195613.

It is an arithmetic number, because the mean of its divisors is an integer number (18084960).

Almost surely, 2^257532913 is an apocalyptic number.

It is an amenable number.

257532913 is a deficient number, since it is larger than the sum of its proper divisors (31826447).

257532913 is a wasteful number, since it uses less digits than its factorization.

257532913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848.

The product of its digits is 56700, while the sum is 37.

The square root of 257532913 is about 16047.8320342656. The cubic root of 257532913 is about 636.2252681244.

The spelling of 257532913 in words is "two hundred fifty-seven million, five hundred thirty-two thousand, nine hundred thirteen".