13123774155625 has 135 divisors (see below), whose sum is σ = 19347016126977. Its totient is φ = 8873525052000.

The previous prime is 13123774155623. The next prime is 13123774155649. The reversal of 13123774155625 is 52655147732131.

The square root of 13123774155625 is 3622675.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1028903893801 + 12094870261824 = 1014349^2 + 3477768^2 .

It is not a de Polignac number, because 13123774155625 - 2¹ = 13123774155623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13123774155623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 80513951794 + ... + 80513951956.

Almost surely, 2^{13123774155625} is an apocalyptic number.

13123774155625 is the 3622675-th square number.

13123774155625 is the 1811338-th centered octagonal number.

It is an amenable number.

13123774155625 is a deficient number, since it is larger than the sum of its proper divisors (6223241971352).

13123774155625 is an frugal number, since it uses more digits than its factorization.

13123774155625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 302 counting only the distinct ones).

The product of its digits is 5292000, while the sum is 52.

The spelling of 13123774155625 in words is "thirteen trillion, one hundred twenty-three billion, seven hundred seventy-four million, one hundred fifty-five thousand, six hundred twenty-five".