252220052000 has 144 divisors (see below), whose sum is σ = 720881500248. Its totient is φ = 86475379200.

The previous prime is 252220051973. The next prime is 252220052053. The reversal of 252220052000 is 250022252.

It is a happy number.

252220052000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 72962653456 + 179257398544 = 270116^2 + 423388^2 .

It is a super-2 number, since 2×252220052000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447419 + ... + 839418.

Almost surely, 2^252220052000 is an apocalyptic number.

252220052000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252220052000 is an abundant number, since it is smaller than the sum of its proper divisors (468661448248).

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

252220052000 is a wasteful number, since it uses less digits than its factorization.

252220052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286876 (or 1286851 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

Adding to 252220052000 its reverse (250022252), we get a palindrome (252470074252).

The spelling of 252220052000 in words is "two hundred fifty-two billion, two hundred twenty million, fifty-two thousand".