5153434400 has 72 divisors (see below), whose sum is σ = 13320905220. Its totient is φ = 1940111360.

The previous prime is 5153434399. The next prime is 5153434453. The reversal of 5153434400 is 44343515.

It can be written as a sum of positive squares in 6 ways, for example, as 1525058704 + 3628375696 = 39052^2 + 60236^2 .

It is a super-2 number, since 2×5153434400² = 53115772230206720000, which contains 22 as substring.

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, 175865 + ... + 203064.

Almost surely, 2^5153434400 is an apocalyptic number.

5153434400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5153434400 is an abundant number, since it is smaller than the sum of its proper divisors (8167470820).

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

5153434400 is a wasteful number, since it uses less digits than its factorization.

5153434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378966 (or 378953 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 5153434400 is about 71787.4250826703. The cubic root of 5153434400 is about 1727.2912938825.

Adding to 5153434400 its reverse (44343515), we get a palindrome (5197777915).

The spelling of 5153434400 in words is "five billion, one hundred fifty-three million, four hundred thirty-four thousand, four hundred".