10615964986225 has 27 divisors (see below), whose sum is σ = 13893497886177. Its totient is φ = 8045549398080.

The previous prime is 10615964986199. The next prime is 10615964986279. The reversal of 10615964986225 is 52268946951601.

The square root of 10615964986225 is 3258215.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1735350424929 + 8880614561296 = 1317327^2 + 2980036^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10615964986225 is a prime.

It is a super-2 number, since 2×10615964986225² (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, 309513277 + ... + 309547573.

Almost surely, 2^{10615964986225} is an apocalyptic number.

10615964986225 is the 3258215-th square number.

10615964986225 is the 1629108-th centered octagonal number.

It is an amenable number.

10615964986225 is a deficient number, since it is larger than the sum of its proper divisors (3277532899952).

10615964986225 is an frugal number, since it uses more digits than its factorization.

10615964986225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68642 (or 34321 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 64.

Multiplying 10615964986225 by its sum of digits (64), we get a square (679421759118400 = 26065720²).

The spelling of 10615964986225 in words is "ten trillion, six hundred fifteen billion, nine hundred sixty-four million, nine hundred eighty-six thousand, two hundred twenty-five".