252180656 has 120 divisors (see below), whose sum is σ = 620429040. Its totient is φ = 98413056.

The previous prime is 252180653. The next prime is 252180661. The reversal of 252180656 is 656081252.

It is not an unprimeable number, because it can be changed into a prime (252180653) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1110815 + ... + 1111041.

It is an arithmetic number, because the mean of its divisors is an integer number (5170242).

Almost surely, 2^252180656 is an apocalyptic number.

252180656 is a gapful number since it is divisible by the number (26) 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 252180656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310214520).

252180656 is an abundant number, since it is smaller than the sum of its proper divisors (368248384).

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

252180656 is a wasteful number, since it uses less digits than its factorization.

252180656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 252180656 is about 15880.1969761083. The cubic root of 252180656 is about 631.7868613120.

The spelling of 252180656 in words is "two hundred fifty-two million, one hundred eighty thousand, six hundred fifty-six".