13759982208025 has 27 divisors (see below), whose sum is σ = 17282931694623. Its totient is φ = 10867486827600.

The previous prime is 13759982207981. The next prime is 13759982208053. The reversal of 13759982208025 is 52080228995731.

The square root of 13759982208025 is 3709445.

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

It can be written as a sum of positive squares in only one way, i.e., 4953593594889 + 8806388613136 = 2225667^2 + 2967556^2 .

It is not a de Polignac number, because 13759982208025 - 2⁷ = 13759982207897 is a prime.

It is a super-2 number, since 2×13759982208025² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1465226080 + ... + 1465235470.

Almost surely, 2^{13759982208025} is an apocalyptic number.

13759982208025 is the 3709445-th square number.

13759982208025 is the 1854723-rd centered octagonal number.

It is an amenable number.

13759982208025 is a deficient number, since it is larger than the sum of its proper divisors (3522949486598).

13759982208025 is an frugal number, since it uses more digits than its factorization.

13759982208025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18950 (or 9475 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 61.

The spelling of 13759982208025 in words is "thirteen trillion, seven hundred fifty-nine billion, nine hundred eighty-two million, two hundred eight thousand, twenty-five".