252426603312 has 160 divisors (see below), whose sum is σ = 791284354560. Its totient is φ = 76575663360.

The previous prime is 252426603293. The next prime is 252426603313. The reversal of 252426603312 is 213306624252.

252426603312 is a `hidden beast` number, since 2 + 5 + 2 + 42 + 6 + 603 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (252426603313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82203 + ... + 715269.

It is an arithmetic number, because the mean of its divisors is an integer number (4945527216).

Almost surely, 2^252426603312 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 252426603312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395642177280).

252426603312 is an abundant number, since it is smaller than the sum of its proper divisors (538857751248).

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

252426603312 is a wasteful number, since it uses less digits than its factorization.

252426603312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633168 (or 633156 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 252426603312 in words is "two hundred fifty-two billion, four hundred twenty-six million, six hundred three thousand, three hundred twelve".