253879132064 has 48 divisors (see below), whose sum is σ = 533033524800. Its totient is φ = 118612982784.

The previous prime is 253879132063. The next prime is 253879132069. The reversal of 253879132064 is 460231978352.

It is a super-2 number, since 2×253879132064² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (253879132063) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1603124 + ... + 1754355.

It is an arithmetic number, because the mean of its divisors is an integer number (11104865100).

It is a 1-persistent number, because it is pandigital, but 2⋅253879132064 = 507758264128 is not.

Almost surely, 2^253879132064 is an apocalyptic number.

It is an amenable number.

253879132064 is an abundant number, since it is smaller than the sum of its proper divisors (279154392736).

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

253879132064 is a wasteful number, since it uses less digits than its factorization.

253879132064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357645 (or 3357637 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 50.

The spelling of 253879132064 in words is "two hundred fifty-three billion, eight hundred seventy-nine million, one hundred thirty-two thousand, sixty-four".