257652153 has 48 divisors (see below), whose sum is σ = 444787200. Its totient is φ = 141872640.

The previous prime is 257652151. The next prime is 257652181. The reversal of 257652153 is 351256752.

It is not a de Polignac number, because 257652153 - 2¹ = 257652151 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257652151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46168 + ... + 51446.

It is an arithmetic number, because the mean of its divisors is an integer number (9266400).

Almost surely, 2^257652153 is an apocalyptic number.

It is an amenable number.

257652153 is a deficient number, since it is larger than the sum of its proper divisors (187135047).

257652153 is a wasteful number, since it uses less digits than its factorization.

257652153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5342 (or 5339 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 257652153 is about 16051.5467478994. The cubic root of 257652153 is about 636.3234456021.

The spelling of 257652153 in words is "two hundred fifty-seven million, six hundred fifty-two thousand, one hundred fifty-three".