252811067488 has 192 divisors, whose sum is σ = 610674785280. Its totient is φ = 100560125952.

The previous prime is 252811067479. The next prime is 252811067497. The reversal of 252811067488 is 884760118252.

It is an interprime number because it is at equal distance from previous prime (252811067479) and next prime (252811067497).

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, 170471995 + ... + 170473477.

It is an arithmetic number, because the mean of its divisors is an integer number (3180597840).

Almost surely, 2^252811067488 is an apocalyptic number.

252811067488 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 252811067488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305337392640).

252811067488 is an abundant number, since it is smaller than the sum of its proper divisors (357863717792).

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

252811067488 is a wasteful number, since it uses less digits than its factorization.

252811067488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 52.

The spelling of 252811067488 in words is "two hundred fifty-two billion, eight hundred eleven million, sixty-seven thousand, four hundred eighty-eight".