252587970 has 80 divisors (see below), whose sum is σ = 702666360. Its totient is φ = 65028096.

The previous prime is 252587953. The next prime is 252587987. The reversal of 252587970 is 79785252.

It is a happy number.

252587970 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252587953) and next prime (252587987).

It can be written as a sum of positive squares in 4 ways, for example, as 244953801 + 7634169 = 15651^2 + 2763^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 18114 + ... + 28866.

Almost surely, 2^252587970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252587970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351333180).

252587970 is an abundant number, since it is smaller than the sum of its proper divisors (450078390).

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

252587970 is a wasteful number, since it uses less digits than its factorization.

252587970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10801 (or 10792 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 252587970 is about 15893.0163908555. The cubic root of 252587970 is about 632.1268255466.

The spelling of 252587970 in words is "two hundred fifty-two million, five hundred eighty-seven thousand, nine hundred seventy".