257020581 has 32 divisors (see below), whose sum is σ = 371036160. Its totient is φ = 157743936.

The previous prime is 257020571. The next prime is 257020601. The reversal of 257020581 is 185020752.

It is not a de Polignac number, because 257020581 - 2⁷ = 257020453 is a prime.

It is a super-2 number, since 2×257020581² = 132119158115155122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257020541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527520 + ... + 528006.

It is an arithmetic number, because the mean of its divisors is an integer number (11594880).

Almost surely, 2^257020581 is an apocalyptic number.

It is an amenable number.

257020581 is a deficient number, since it is larger than the sum of its proper divisors (114015579).

257020581 is a wasteful number, since it uses less digits than its factorization.

257020581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753.

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 257020581 is about 16031.8614327844. The cubic root of 257020581 is about 635.8030891340.

The spelling of 257020581 in words is "two hundred fifty-seven million, twenty thousand, five hundred eighty-one".