5111350400 has 96 divisors (see below), whose sum is σ = 13598022900. Its totient is φ = 1887252480.

The previous prime is 5111350393. The next prime is 5111350483. The reversal of 5111350400 is 40531115.

It can be written as a sum of positive squares in 6 ways, for example, as 1936704064 + 3174646336 = 44008^2 + 56344^2 .

It is a super-2 number, since 2×5111350400² = 52251805823160320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 19835 + ... + 103034.

Almost surely, 2^5111350400 is an apocalyptic number.

5111350400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5111350400 is an abundant number, since it is smaller than the sum of its proper divisors (8486672500).

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

5111350400 is a wasteful number, since it uses less digits than its factorization.

5111350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122906 (or 122889 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 5111350400 is about 71493.7088141327. The cubic root of 5111350400 is about 1722.5766321303.

Adding to 5111350400 its reverse (40531115), we get a palindrome (5151881515).

The spelling of 5111350400 in words is "five billion, one hundred eleven million, three hundred fifty thousand, four hundred".