5138336904100 has 81 divisors (see below), whose sum is σ = 11197563857571. Its totient is φ = 2046639355200.

The previous prime is 5138336904089. The next prime is 5138336904109. The reversal of 5138336904100 is 14096338315.

The square root of 5138336904100 is 2266790.

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

It can be written as a sum of positive squares in 4 ways, for example, as 303122920356 + 4835213983744 = 550566^2 + 2198912^2 .

It is a super-2 number, since 2×5138336904100² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5138336904109) 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, 9497849830 + ... + 9497850370.

Almost surely, 2^{5138336904100} is an apocalyptic number.

5138336904100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5138336904100 is the 2266790-th square number.

It is an amenable number.

5138336904100 is an abundant number, since it is smaller than the sum of its proper divisors (6059226953471).

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

5138336904100 is an frugal number, since it uses more digits than its factorization.

5138336904100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The spelling of 5138336904100 in words is "five trillion, one hundred thirty-eight billion, three hundred thirty-six million, nine hundred four thousand, one hundred".