252026583663264 has 96 divisors (see below), whose sum is σ = 665038157414400. Its totient is φ = 83568573914112.

The previous prime is 252026583663247. The next prime is 252026583663397. The reversal of 252026583663264 is 462366385620252.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 252026583663198 and 252026583663207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113373537 + ... + 115575135.

It is an arithmetic number, because the mean of its divisors is an integer number (6927480806400).

Almost surely, 2^{252026583663264} is an apocalyptic number.

252026583663264 is a gapful number since it is divisible by the number (24) 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 252026583663264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332519078707200).

252026583663264 is an abundant number, since it is smaller than the sum of its proper divisors (413011573751136).

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

252026583663264 is a wasteful number, since it uses less digits than its factorization.

252026583663264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207862 (or 2207854 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 60.

The spelling of 252026583663264 in words is "two hundred fifty-two trillion, twenty-six billion, five hundred eighty-three million, six hundred sixty-three thousand, two hundred sixty-four".