253252601064 has 96 divisors (see below), whose sum is σ = 711577152000. Its totient is φ = 81283720320.

The previous prime is 253252601023. The next prime is 253252601087. The reversal of 253252601064 is 460106252352.

253252601064 is a `hidden beast` number, since 2 + 5 + 325 + 260 + 10 + 64 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 159082 + ... + 729254.

It is an arithmetic number, because the mean of its divisors is an integer number (7412262000).

Almost surely, 2^253252601064 is an apocalyptic number.

253252601064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253252601064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355788576000).

253252601064 is an abundant number, since it is smaller than the sum of its proper divisors (458324550936).

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

253252601064 is a wasteful number, since it uses less digits than its factorization.

253252601064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570415 (or 570408 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 253252601064 in words is "two hundred fifty-three billion, two hundred fifty-two million, six hundred one thousand, sixty-four".