252676505676252 has 144 divisors (see below), whose sum is σ = 687080722648320. Its totient is φ = 72062308620288.

The previous prime is 252676505676193. The next prime is 252676505676263.

252676505676252 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×252676505676252² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5821615183 + ... + 5821658585.

It is an arithmetic number, because the mean of its divisors is an integer number (4771393907280).

Almost surely, 2^{252676505676252} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252676505676252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343540361324160).

252676505676252 is an abundant number, since it is smaller than the sum of its proper divisors (434404216972068).

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

252676505676252 is a wasteful number, since it uses less digits than its factorization.

252676505676252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61160 (or 61151 counting only the distinct ones).

The product of its (nonzero) digits is 635040000, while the sum is 66.

The spelling of 252676505676252 in words is "two hundred fifty-two trillion, six hundred seventy-six billion, five hundred five million, six hundred seventy-six thousand, two hundred fifty-two".