257532912 has 160 divisors (see below), whose sum is σ = 909941760. Its totient is φ = 67910400.

The previous prime is 257532907. The next prime is 257532917. The reversal of 257532912 is 219235752.

It is an interprime number because it is at equal distance from previous prime (257532907) and next prime (257532917).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257532917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36037 + ... + 42587.

It is an arithmetic number, because the mean of its divisors is an integer number (5687136).

Almost surely, 2^257532912 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 257532912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454970880).

257532912 is an abundant number, since it is smaller than the sum of its proper divisors (652408848).

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

257532912 is a wasteful number, since it uses less digits than its factorization.

257532912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6588 (or 6576 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 257532912 is about 16047.8320031087. The cubic root of 257532912 is about 636.2252673009.

The spelling of 257532912 in words is "two hundred fifty-seven million, five hundred thirty-two thousand, nine hundred twelve".