252357552 has 80 divisors (see below), whose sum is σ = 727498080. Its totient is φ = 83755008.

The previous prime is 252357517. The next prime is 252357559. The reversal of 252357552 is 255753252.

252357552 is a `hidden beast` number, since 2 + 52 + 3 + 57 + 552 = 666.

252357552 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 (252357559) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109888 + ... + 112160.

It is an arithmetic number, because the mean of its divisors is an integer number (9093726).

Almost surely, 2^252357552 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 252357552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363749040).

252357552 is an abundant number, since it is smaller than the sum of its proper divisors (475140528).

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

252357552 is a wasteful number, since it uses less digits than its factorization.

252357552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547 (or 2535 counting only the distinct ones).

The product of its digits is 105000, while the sum is 36.

The square root of 252357552 is about 15885.7657039250. The cubic root of 252357552 is about 631.9345523211.

The spelling of 252357552 in words is "two hundred fifty-two million, three hundred fifty-seven thousand, five hundred fifty-two".