5123514400 has 72 divisors (see below), whose sum is σ = 13243566420. Its totient is φ = 1928847360.

The previous prime is 5123514359. The next prime is 5123514421. The reversal of 5123514400 is 44153215.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2725257616 + 2398256784 = 52204^2 + 48972^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174765 + ... + 201964.

Almost surely, 2^5123514400 is an apocalyptic number.

5123514400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5123514400 is an abundant number, since it is smaller than the sum of its proper divisors (8120052020).

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

5123514400 is a wasteful number, since it uses less digits than its factorization.

5123514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376766 (or 376753 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 5123514400 is about 71578.7286838765. The cubic root of 5123514400 is about 1723.9420131479.

Adding to 5123514400 its reverse (44153215), we get a palindrome (5167667615).

The spelling of 5123514400 in words is "five billion, one hundred twenty-three million, five hundred fourteen thousand, four hundred".