257531013 has 6 divisors (see below), whose sum is σ = 371989254. Its totient is φ = 171687336.

The previous prime is 257530993. The next prime is 257531017. The reversal of 257531013 is 310135752.

It can be written as a sum of positive squares in only one way, i.e., 152324964 + 105206049 = 12342^2 + 10257^2 .

It is not a de Polignac number, because 257531013 - 2¹³ = 257522821 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257531017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14307270 + ... + 14307287.

It is an arithmetic number, because the mean of its divisors is an integer number (61998209).

Almost surely, 2^257531013 is an apocalyptic number.

It is an amenable number.

257531013 is a deficient number, since it is larger than the sum of its proper divisors (114458241).

257531013 is a wasteful number, since it uses less digits than its factorization.

257531013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28614563 (or 28614560 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 257531013 is about 16047.7728361290. The cubic root of 257531013 is about 636.2237034946.

Adding to 257531013 its reverse (310135752), we get a palindrome (567666765).

The spelling of 257531013 in words is "two hundred fifty-seven million, five hundred thirty-one thousand, thirteen".