252122906556 has 120 divisors (see below), whose sum is σ = 664109661600. Its totient is φ = 83403105408.

The previous prime is 252122906543. The next prime is 252122906591. The reversal of 252122906556 is 655609221252.

252122906556 is a `hidden beast` number, since 2 + 5 + 2 + 1 + 2 + 2 + 90 + 6 + 556 = 666.

It is a super-2 number, since 2×252122906556² (a number of 24 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 39 ways as a sum of consecutive naturals, for example, 95247225 + ... + 95249871.

It is an arithmetic number, because the mean of its divisors is an integer number (5534247180).

Almost surely, 2^252122906556 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 252122906556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332054830800).

252122906556 is an abundant number, since it is smaller than the sum of its proper divisors (411986755044).

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

252122906556 is a wasteful number, since it uses less digits than its factorization.

252122906556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4785 (or 4774 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 252122906556 in words is "two hundred fifty-two billion, one hundred twenty-two million, nine hundred six thousand, five hundred fifty-six".