252563666365252 has 72 divisors (see below), whose sum is σ = 490772456962200. Its totient is φ = 113631984576000.

The previous prime is 252563666365217. The next prime is 252563666365273.

252563666365252 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 58107781139716 + 194455885225536 = 7622846^2 + 13944744^2 .

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, 167851918 + ... + 169349914.

It is an arithmetic number, because the mean of its divisors is an integer number (6816284124475).

Almost surely, 2^{252563666365252} is an apocalyptic number.

252563666365252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

252563666365252 is a deficient number, since it is larger than the sum of its proper divisors (238208790596948).

252563666365252 is a wasteful number, since it uses less digits than its factorization.

252563666365252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501573 (or 1501560 counting only the distinct ones).

The product of its digits is 699840000, while the sum is 64.

The spelling of 252563666365252 in words is "two hundred fifty-two trillion, five hundred sixty-three billion, six hundred sixty-six million, three hundred sixty-five thousand, two hundred fifty-two".