252251712 has 224 divisors, whose sum is σ = 813450240. Its totient is φ = 76308480.

The previous prime is 252251683. The next prime is 252251723. The reversal of 252251712 is 217152252.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 910518 + ... + 910794.

Almost surely, 2^252251712 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 252251712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406725120).

252251712 is an abundant number, since it is smaller than the sum of its proper divisors (561198528).

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

252251712 is a wasteful number, since it uses less digits than its factorization.

252251712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 330 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 252251712 is about 15882.4340703810. The cubic root of 252251712 is about 631.8461944797.

The spelling of 252251712 in words is "two hundred fifty-two million, two hundred fifty-one thousand, seven hundred twelve".