252233112400 has 30 divisors (see below), whose sum is σ = 605990053502. Its totient is φ = 100893244800.

The previous prime is 252233112389. The next prime is 252233112401. The reversal of 252233112400 is 4211332252.

It can be written as a sum of positive squares in 3 ways, for example, as 3379794496 + 248853317904 = 58136^2 + 498852^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252233112401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 315290991 + ... + 315291790.

Almost surely, 2^252233112400 is an apocalyptic number.

252233112400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252233112400 is an abundant number, since it is smaller than the sum of its proper divisors (353756941102).

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

252233112400 is a wasteful number, since it uses less digits than its factorization.

252233112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630582799 (or 630582788 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 252233112400 its reverse (4211332252), we get a palindrome (256444444652).

The spelling of 252233112400 in words is "two hundred fifty-two billion, two hundred thirty-three million, one hundred twelve thousand, four hundred".