5139413801256 has 384 divisors, whose sum is σ = 16618192588800. Its totient is φ = 1314929064960.

The previous prime is 5139413801219. The next prime is 5139413801257. The reversal of 5139413801256 is 6521083149315.

It is not an unprimeable number, because it can be changed into a prime (5139413801257) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29698276 + ... + 29870828.

It is an arithmetic number, because the mean of its divisors is an integer number (43276543200).

Almost surely, 2^{5139413801256} is an apocalyptic number.

5139413801256 is a gapful number since it is divisible by the number (56) 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 5139413801256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8309096294400).

5139413801256 is an abundant number, since it is smaller than the sum of its proper divisors (11478778787544).

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

5139413801256 is a wasteful number, since it uses less digits than its factorization.

5139413801256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172669 (or 172658 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 5139413801256 in words is "five trillion, one hundred thirty-nine billion, four hundred thirteen million, eight hundred one thousand, two hundred fifty-six".