257552477 has 12 divisors (see below), whose sum is σ = 322648956. Its totient is φ = 203777280.

The previous prime is 257552453. The next prime is 257552479. The reversal of 257552477 is 774255752.

It can be written as a sum of positive squares in 2 ways, for example, as 12348196 + 245204281 = 3514^2 + 15659^2 .

It is not a de Polignac number, because 257552477 - 2¹² = 257548381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257552479) 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 11 ways as a sum of consecutive naturals, for example, 201524 + ... + 202797.

It is an arithmetic number, because the mean of its divisors is an integer number (26887413).

Almost surely, 2^257552477 is an apocalyptic number.

It is an amenable number.

257552477 is a deficient number, since it is larger than the sum of its proper divisors (65096479).

257552477 is a wasteful number, since it uses less digits than its factorization.

257552477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404348 (or 404341 counting only the distinct ones).

The product of its digits is 686000, while the sum is 44.

The square root of 257552477 is about 16048.4415754303. The cubic root of 257552477 is about 636.2413784224.

The spelling of 257552477 in words is "two hundred fifty-seven million, five hundred fifty-two thousand, four hundred seventy-seven".