257006064 has 40 divisors (see below), whose sum is σ = 758780800. Its totient is φ = 73430208.

The previous prime is 257006053. The next prime is 257006083. The reversal of 257006064 is 460600752.

257006064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382114 + ... + 382785.

It is an arithmetic number, because the mean of its divisors is an integer number (18969520).

Almost surely, 2^257006064 is an apocalyptic number.

257006064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

257006064 is an abundant number, since it is smaller than the sum of its proper divisors (501774736).

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

257006064 is a wasteful number, since it uses less digits than its factorization.

257006064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764917 (or 764911 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 257006064 is about 16031.4086717294. The cubic root of 257006064 is about 635.7911184620.

The spelling of 257006064 in words is "two hundred fifty-seven million, six thousand, sixty-four".