257135536 has 30 divisors (see below), whose sum is σ = 579540660. Its totient is φ = 110200608.

The previous prime is 257135521. The next prime is 257135537. The reversal of 257135536 is 635531752.

It is a super-2 number, since 2×257135536² = 132237367748014592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257135495 and 257135504.

It is not an unprimeable number, because it can be changed into a prime (257135537) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 163206 + ... + 164773.

It is an arithmetic number, because the mean of its divisors is an integer number (19318022).

Almost surely, 2^257135536 is an apocalyptic number.

It is an amenable number.

257135536 is an abundant number, since it is smaller than the sum of its proper divisors (322405124).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257135536 is a wasteful number, since it uses less digits than its factorization.

257135536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328001 (or 327988 counting only the distinct ones).

The product of its digits is 94500, while the sum is 37.

The square root of 257135536 is about 16035.4462363852. The cubic root of 257135536 is about 635.8978647482.

The spelling of 257135536 in words is "two hundred fifty-seven million, one hundred thirty-five thousand, five hundred thirty-six".