252002352400 has 30 divisors (see below), whose sum is σ = 605435652602. Its totient is φ = 100800940800.

The previous prime is 252002352377. The next prime is 252002352403. The reversal of 252002352400 is 4253200252.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 64603405584 + 187398946816 = 254172^2 + 432896^2 .

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

It is not an unprimeable number, because it can be changed into a prime (252002352403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 315002541 + ... + 315003340.

Almost surely, 2^252002352400 is an apocalyptic number.

252002352400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252002352400 is an abundant number, since it is smaller than the sum of its proper divisors (353433300202).

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

252002352400 is a wasteful number, since it uses less digits than its factorization.

252002352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630005899 (or 630005888 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 252002352400 its reverse (4253200252), we get a palindrome (256255552652).

The spelling of 252002352400 in words is "two hundred fifty-two billion, two million, three hundred fifty-two thousand, four hundred".