257542965 has 24 divisors (see below), whose sum is σ = 453978720. Its totient is φ = 135026784.

The previous prime is 257542931. The next prime is 257542969. The reversal of 257542965 is 569245752.

It is not a de Polignac number, because 257542965 - 2⁷ = 257542837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 257542965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257542969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45847 + ... + 51156.

It is an arithmetic number, because the mean of its divisors is an integer number (18915780).

Almost surely, 2^257542965 is an apocalyptic number.

It is an amenable number.

257542965 is a deficient number, since it is larger than the sum of its proper divisors (196435755).

257542965 is a wasteful number, since it uses less digits than its factorization.

257542965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97073 (or 97070 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 257542965 is about 16048.1452199312. The cubic root of 257542965 is about 636.2335457113.

The spelling of 257542965 in words is "two hundred fifty-seven million, five hundred forty-two thousand, nine hundred sixty-five".