252567096 has 64 divisors (see below), whose sum is σ = 682836480. Its totient is φ = 77544960.

The previous prime is 252567067. The next prime is 252567097. The reversal of 252567096 is 690765252.

It is a super-3 number, since 3×252567096³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252567097) 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, 12591 + ... + 25761.

It is an arithmetic number, because the mean of its divisors is an integer number (10669320).

Almost surely, 2^252567096 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 252567096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341418240).

252567096 is an abundant number, since it is smaller than the sum of its proper divisors (430269384).

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

252567096 is a wasteful number, since it uses less digits than its factorization.

252567096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13244 (or 13240 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 252567096 is about 15892.3596737552. The cubic root of 252567096 is about 632.1094119713.

The spelling of 252567096 in words is "two hundred fifty-two million, five hundred sixty-seven thousand, ninety-six".