5140513031200 has 36 divisors (see below), whose sum is σ = 12549277439370. Its totient is φ = 2056205212160.

The previous prime is 5140513031153. The next prime is 5140513031233. The reversal of 5140513031200 is 21303150415.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2594586435984 + 2545926595216 = 1610772^2 + 1595596^2 .

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

It is an unprimeable number.

It is a 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, 3212819845 + ... + 3212821444.

Almost surely, 2^{5140513031200} is an apocalyptic number.

5140513031200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5140513031200 is an abundant number, since it is smaller than the sum of its proper divisors (7408764408170).

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

5140513031200 is a wasteful number, since it uses less digits than its factorization.

5140513031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6425641309 (or 6425641296 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 5140513031200 its reverse (21303150415), we get a palindrome (5161816181615).

The spelling of 5140513031200 in words is "five trillion, one hundred forty billion, five hundred thirteen million, thirty-one thousand, two hundred".