252606820 has 24 divisors (see below), whose sum is σ = 548767800. Its totient is φ = 97558272.

The previous prime is 252606793. The next prime is 252606821. The reversal of 252606820 is 28606252.

It can be written as a sum of positive squares in 4 ways, for example, as 65901924 + 186704896 = 8118^2 + 13664^2 .

It is not an unprimeable number, because it can be changed into a prime (252606821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217185 + ... + 218344.

It is an arithmetic number, because the mean of its divisors is an integer number (22865325).

Almost surely, 2^252606820 is an apocalyptic number.

252606820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252606820 is an abundant number, since it is smaller than the sum of its proper divisors (296160980).

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

252606820 is a wasteful number, since it uses less digits than its factorization.

252606820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435567 (or 435565 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 252606820 is about 15893.6094075575. The cubic root of 252606820 is about 632.1425498297.

The spelling of 252606820 in words is "two hundred fifty-two million, six hundred six thousand, eight hundred twenty".