252431544624 has 240 divisors, whose sum is σ = 767580559200. Its totient is φ = 71270707200.

The previous prime is 252431544583. The next prime is 252431544641. The reversal of 252431544624 is 426445134252.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240639652 + ... + 240640700.

It is an arithmetic number, because the mean of its divisors is an integer number (3198252330).

Almost surely, 2^252431544624 is an apocalyptic number.

252431544624 is a gapful number since it is divisible by the number (24) 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 252431544624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383790279600).

252431544624 is an abundant number, since it is smaller than the sum of its proper divisors (515149014576).

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

252431544624 is a wasteful number, since it uses less digits than its factorization.

252431544624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2175 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

Adding to 252431544624 its reverse (426445134252), we get a palindrome (678876678876).

The spelling of 252431544624 in words is "two hundred fifty-two billion, four hundred thirty-one million, five hundred forty-four thousand, six hundred twenty-four".