5113022400 has 336 divisors, whose sum is σ = 18912718080. Its totient is φ = 1343462400.

The previous prime is 5113022399. The next prime is 5113022407. The reversal of 5113022400 is 42203115.

It is a super-2 number, since 2×5113022400² = 52285996125803520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5113022407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3066367 + ... + 3068033.

Almost surely, 2^5113022400 is an apocalyptic number.

5113022400 is a gapful number since it is divisible by the number (50) 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 5113022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9456359040).

5113022400 is an abundant number, since it is smaller than the sum of its proper divisors (13799695680).

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

5113022400 is a wasteful number, since it uses less digits than its factorization.

5113022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5113022400 is about 71505.4011945951. The cubic root of 5113022400 is about 1722.7644386076.

Adding to 5113022400 its reverse (42203115), we get a palindrome (5155225515).

The spelling of 5113022400 in words is "five billion, one hundred thirteen million, twenty-two thousand, four hundred".