13615731002500 has 135 divisors (see below), whose sum is σ = 32732640187401. Its totient is φ = 4950436920000.

The previous prime is 13615731002473. The next prime is 13615731002507. The reversal of 13615731002500 is 520013751631.

The square root of 13615731002500 is 3689950.

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

It can be written as a sum of positive squares in 7 ways, for example, as 8409338812996 + 5206392189504 = 2899886^2 + 2281752^2 .

It is not an unprimeable number, because it can be changed into a prime (13615731002507) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2029469146 + ... + 2029475854.

Almost surely, 2^{13615731002500} is an apocalyptic number.

13615731002500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13615731002500 is the 3689950-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13615731002500

13615731002500 is an abundant number, since it is smaller than the sum of its proper divisors (19116909184901).

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

13615731002500 is an frugal number, since it uses more digits than its factorization.

13615731002500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13464 (or 6727 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The spelling of 13615731002500 in words is "thirteen trillion, six hundred fifteen billion, seven hundred thirty-one million, two thousand, five hundred".