257132016 has 80 divisors (see below), whose sum is σ = 776934400. Its totient is φ = 81196992.

The previous prime is 257131999. The next prime is 257132023. The reversal of 257132016 is 610231752.

It is a happy number.

It is a super-2 number, since 2×257132016² = 132233747304448512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7456 + ... + 23871.

It is an arithmetic number, because the mean of its divisors is an integer number (9711680).

Almost surely, 2^257132016 is an apocalyptic number.

It is an amenable number.

257132016 is an abundant number, since it is smaller than the sum of its proper divisors (519802384).

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

257132016 is a wasteful number, since it uses less digits than its factorization.

257132016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31363 (or 31351 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 257132016 is about 16035.3364791638. The cubic root of 257132016 is about 635.8949630739.

Adding to 257132016 its reverse (610231752), we get a palindrome (867363768).

The spelling of 257132016 in words is "two hundred fifty-seven million, one hundred thirty-two thousand, sixteen".