252753696 has 180 divisors, whose sum is σ = 806315202. Its totient is φ = 77635584.

The previous prime is 252753691. The next prime is 252753701. The reversal of 252753696 is 696357252.

252753696 is a `hidden beast` number, since 2 + 5 + 27 + 536 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (252753691) and next prime (252753701).

It can be written as a sum of positive squares in 3 ways, for example, as 208398096 + 44355600 = 14436^2 + 6660^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252753691) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 437760 + ... + 438336.

Almost surely, 2^252753696 is an apocalyptic number.

252753696 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252753696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403157601).

252753696 is an abundant number, since it is smaller than the sum of its proper divisors (553561506).

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

252753696 is a wasteful number, since it uses less digits than its factorization.

252753696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 595 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 252753696 is about 15898.2293353694. The cubic root of 252753696 is about 632.2650439888.

The spelling of 252753696 in words is "two hundred fifty-two million, seven hundred fifty-three thousand, six hundred ninety-six".