252709650 has 72 divisors (see below), whose sum is σ = 695557044. Its totient is φ = 65740800.

The previous prime is 252709649. The next prime is 252709651. The reversal of 252709650 is 56907252.

It is an interprime number because it is at equal distance from previous prime (252709649) and next prime (252709651).

It can be written as a sum of positive squares in 6 ways, for example, as 567009 + 252142641 = 753^2 + 15879^2 .

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (252709651) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11602 + ... + 25298.

Almost surely, 2^252709650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252709650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347778522).

252709650 is an abundant number, since it is smaller than the sum of its proper divisors (442847394).

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

252709650 is a wasteful number, since it uses less digits than its factorization.

252709650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13756 (or 13748 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 252709650 is about 15896.8440264098. The cubic root of 252709650 is about 632.2283147350.

The spelling of 252709650 in words is "two hundred fifty-two million, seven hundred nine thousand, six hundred fifty".