5139456100 has 81 divisors (see below), whose sum is σ = 11428359033. Its totient is φ = 2006172960.

The previous prime is 5139456071. The next prime is 5139456107. The reversal of 5139456100 is 16549315.

The square root of 5139456100 is 71690.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1850204196 + 3289251904 = 43014^2 + 57352^2 .

It is a super-3 number, since 3×5139456100³ (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5139456107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48032247 + ... + 48032353.

Almost surely, 2^5139456100 is an apocalyptic number.

5139456100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5139456100 is the 71690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5139456100

5139456100 is an abundant number, since it is smaller than the sum of its proper divisors (6288902933).

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

5139456100 is a wasteful number, since it uses less digits than its factorization.

5139456100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The cubic root of 5139456100 is about 1725.7281641907.

The spelling of 5139456100 in words is "five billion, one hundred thirty-nine million, four hundred fifty-six thousand, one hundred".