257582045 has 32 divisors (see below), whose sum is σ = 377975808. Its totient is φ = 164487168.

The previous prime is 257582041. The next prime is 257582047. The reversal of 257582045 is 540285752.

It is not a de Polignac number, because 257582045 - 2² = 257582041 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257582041) 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, 55484 + ... + 59946.

It is an arithmetic number, because the mean of its divisors is an integer number (11811744).

Almost surely, 2^257582045 is an apocalyptic number.

It is an amenable number.

257582045 is a deficient number, since it is larger than the sum of its proper divisors (120393763).

257582045 is a wasteful number, since it uses less digits than its factorization.

257582045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4589.

The product of its (nonzero) digits is 112000, while the sum is 38.

The square root of 257582045 is about 16049.3627599354. The cubic root of 257582045 is about 636.2657251309.

The spelling of 257582045 in words is "two hundred fifty-seven million, five hundred eighty-two thousand, forty-five".