252560560 has 80 divisors (see below), whose sum is σ = 673099776. Its totient is φ = 86333184.

The previous prime is 252560531. The next prime is 252560573. The reversal of 252560560 is 65065252.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339549 + ... + 340291.

Almost surely, 2^252560560 is an apocalyptic number.

252560560 is a gapful number since it is divisible by the number (20) 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 252560560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336549888).

252560560 is an abundant number, since it is smaller than the sum of its proper divisors (420539216).

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

252560560 is a wasteful number, since it uses less digits than its factorization.

252560560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 252560560 is about 15892.1540390219. The cubic root of 252560560 is about 632.1039592912.

The spelling of 252560560 in words is "two hundred fifty-two million, five hundred sixty thousand, five hundred sixty".