252575064 has 64 divisors (see below), whose sum is σ = 801830400. Its totient is φ = 72163872.

The previous prime is 252575041. The next prime is 252575101. The reversal of 252575064 is 460575252.

252575064 is a `hidden beast` number, since 2 + 525 + 75 + 0 + 64 = 666.

252575064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 82012 + ... + 85035.

It is an arithmetic number, because the mean of its divisors is an integer number (12528600).

Almost surely, 2^252575064 is an apocalyptic number.

252575064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252575064 is an abundant number, since it is smaller than the sum of its proper divisors (549255336).

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

252575064 is a wasteful number, since it uses less digits than its factorization.

252575064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167069 (or 167059 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 252575064 is about 15892.6103582766. The cubic root of 252575064 is about 632.1160591751.

The spelling of 252575064 in words is "two hundred fifty-two million, five hundred seventy-five thousand, sixty-four".