12853890625 has 21 divisors (see below), whose sum is σ = 16084891767. Its totient is φ = 10271775000.

The previous prime is 12853890619. The next prime is 12853890629. The reversal of 12853890625 is 52609835821.

It is a happy number.

The square root of 12853890625 is 113375.

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

It can be written as a sum of positive squares in 3 ways, for example, as 11261242161 + 1592648464 = 106119^2 + 39908^2 .

It is a de Polignac number, because none of the positive numbers 2^k-12853890625 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12853890629) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 14171422 + ... + 14172328.

It is an arithmetic number, because the mean of its divisors is an integer number (765947227).

Almost surely, 2^12853890625 is an apocalyptic number.

12853890625 is the 113375-th square number.

12853890625 is the 56688-th centered octagonal number.

It is an amenable number.

12853890625 is a deficient number, since it is larger than the sum of its proper divisors (3231001142).

12853890625 is an frugal number, since it uses more digits than its factorization.

12853890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

Multiplying 12853890625 by its sum of digits (49), we get a square (629840640625 = 793625²).

The spelling of 12853890625 in words is "twelve billion, eight hundred fifty-three million, eight hundred ninety thousand, six hundred twenty-five".