252279949522328 has 128 divisors (see below), whose sum is σ = 586460755077120. Its totient is φ = 99072272033280.

The previous prime is 252279949522301. The next prime is 252279949522343. The reversal of 252279949522328 is 823225949972252.

It is a Cunningham number, because it is equal to 15883323²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61547873 + ... + 65518703.

It is an arithmetic number, because the mean of its divisors is an integer number (4581724649040).

Almost surely, 2^{252279949522328} is an apocalyptic number.

252279949522328 is a gapful number since it is divisible by the number (28) 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 252279949522328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293230377538560).

252279949522328 is an abundant number, since it is smaller than the sum of its proper divisors (334180805554792).

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

252279949522328 is a wasteful number, since it uses less digits than its factorization.

252279949522328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3971497 (or 3971493 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 71.

The spelling of 252279949522328 in words is "two hundred fifty-two trillion, two hundred seventy-nine billion, nine hundred forty-nine million, five hundred twenty-two thousand, three hundred twenty-eight".