13103495015625 has 315 divisors, whose sum is σ = 27741088093121. Its totient is φ = 5959762200000.

The previous prime is 13103495015617. The next prime is 13103495015641. The reversal of 13103495015625 is 52651059430131.

The square root of 13103495015625 is 3619875.

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

13103495015625 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 3 + 4 + 9 + 5 + 0 + 15 + 625 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 12495581638281 + 607913377344 = 3534909^2 + 779688^2 .

It is a tau number, because it is divible by the number of its divisors (315).

It is not a de Polignac number, because 13103495015625 - 2³ = 13103495015617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 66515203027 + ... + 66515203223.

Almost surely, 2^{13103495015625} is an apocalyptic number.

13103495015625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13103495015625 is the 3619875-th square number.

13103495015625 is the 1809938-th centered octagonal number.

It is an amenable number.

13103495015625 is an abundant number, since it is smaller than the sum of its proper divisors (14637593077496).

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

13103495015625 is an frugal number, since it uses more digits than its factorization.

13103495015625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 13103495015625 in words is "thirteen trillion, one hundred three billion, four hundred ninety-five million, fifteen thousand, six hundred twenty-five".