257531136 has 144 divisors (see below), whose sum is σ = 733877760. Its totient is φ = 79994880.

The previous prime is 257531083. The next prime is 257531143. The reversal of 257531136 is 631135752.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 257531097 and 257531106.

It is a congruent number.

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, 690246 + ... + 690618.

Almost surely, 2^257531136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257531136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366938880).

257531136 is an abundant number, since it is smaller than the sum of its proper divisors (476346624).

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

257531136 is a wasteful number, since it uses less digits than its factorization.

257531136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 438 counting only the distinct ones).

The product of its digits is 18900, while the sum is 33.

The square root of 257531136 is about 16047.7766684360. The cubic root of 257531136 is about 636.2238047840.

Adding to 257531136 its reverse (631135752), we get a palindrome (888666888).

The spelling of 257531136 in words is "two hundred fifty-seven million, five hundred thirty-one thousand, one hundred thirty-six".