252552652716560 has 80 divisors (see below), whose sum is σ = 694208769580800. Its totient is φ = 83603636755968.

The previous prime is 252552652716503. The next prime is 252552652716577. The reversal of 252552652716560 is 65617256255252.

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

It is a super-3 number, since 3×252552652716560³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 252552652716560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7775619620 + ... + 7775652099.

It is an arithmetic number, because the mean of its divisors is an integer number (8677609619760).

Almost surely, 2^{252552652716560} is an apocalyptic number.

252552652716560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252552652716560 is an abundant number, since it is smaller than the sum of its proper divisors (441656116864240).

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

252552652716560 is a wasteful number, since it uses less digits than its factorization.

252552652716560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15551271768 (or 15551271762 counting only the distinct ones).

The product of its (nonzero) digits is 75600000, while the sum is 59.

The spelling of 252552652716560 in words is "two hundred fifty-two trillion, five hundred fifty-two billion, six hundred fifty-two million, seven hundred sixteen thousand, five hundred sixty".