252825104 has 60 divisors (see below), whose sum is σ = 571977900. Its totient is φ = 107944704.

The previous prime is 252825101. The next prime is 252825163. The reversal of 252825104 is 401528252.

It can be written as a sum of positive squares in 2 ways, for example, as 101042704 + 151782400 = 10052^2 + 12320^2 .

It is a super-2 number, since 2×252825104² = 127841066425221632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252825101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 304562 + ... + 305390.

It is an arithmetic number, because the mean of its divisors is an integer number (9532965).

Almost surely, 2^252825104 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 252825104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285988950).

252825104 is an abundant number, since it is smaller than the sum of its proper divisors (319152796).

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

252825104 is a wasteful number, since it uses less digits than its factorization.

252825104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 252825104 is about 15900.4749614595. The cubic root of 252825104 is about 632.3245809106.

The spelling of 252825104 in words is "two hundred fifty-two million, eight hundred twenty-five thousand, one hundred four".