5115361426100 has 144 divisors (see below), whose sum is σ = 11793761744688. Its totient is φ = 1919160975360.

The previous prime is 5115361426073. The next prime is 5115361426157. The reversal of 5115361426100 is 16241635115.

It can be written as a sum of positive squares in 24 ways, for example, as 526280604304 + 4589080821796 = 725452^2 + 2142214^2 .

It is a super-2 number, since 2×5115361426100² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1213031192 + ... + 1213035408.

It is an arithmetic number, because the mean of its divisors is an integer number (81901123227).

Almost surely, 2^{5115361426100} is an apocalyptic number.

5115361426100 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 5115361426100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896880872344).

5115361426100 is an abundant number, since it is smaller than the sum of its proper divisors (6678400318588).

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

5115361426100 is a wasteful number, since it uses less digits than its factorization.

5115361426100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6534 (or 6527 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 5115361426100 in words is "five trillion, one hundred fifteen billion, three hundred sixty-one million, four hundred twenty-six thousand, one hundred".