253512064 has 64 divisors (see below), whose sum is σ = 551607840. Its totient is φ = 115347456.

The previous prime is 253512043. The next prime is 253512071. The reversal of 253512064 is 460215352.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120429 + ... + 122515.

Almost surely, 2^253512064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253512064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275803920).

253512064 is an abundant number, since it is smaller than the sum of its proper divisors (298095776).

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

253512064 is a wasteful number, since it uses less digits than its factorization.

253512064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 253512064 is about 15922.0621779969. The cubic root of 253512064 is about 632.8967667886.

The spelling of 253512064 in words is "two hundred fifty-three million, five hundred twelve thousand, sixty-four".