257005635 has 32 divisors (see below), whose sum is σ = 426304512. Its totient is φ = 132126720.

The previous prime is 257005631. The next prime is 257005649. The reversal of 257005635 is 536500752.

It is not a de Polignac number, because 257005635 - 2² = 257005631 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257005596 and 257005605.

It is not an unprimeable number, because it can be changed into a prime (257005631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44515 + ... + 49955.

It is an arithmetic number, because the mean of its divisors is an integer number (13322016).

Almost surely, 2^257005635 is an apocalyptic number.

257005635 is a deficient number, since it is larger than the sum of its proper divisors (169298877).

257005635 is a wasteful number, since it uses less digits than its factorization.

257005635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5563.

The product of its (nonzero) digits is 31500, while the sum is 33.

The square root of 257005635 is about 16031.3952917393. The cubic root of 257005635 is about 635.7907647031.

The spelling of 257005635 in words is "two hundred fifty-seven million, five thousand, six hundred thirty-five".