12829255422025 has 27 divisors (see below), whose sum is σ = 18505727223669. Its totient is φ = 8797117754880.

The previous prime is 12829255422017. The next prime is 12829255422037. The reversal of 12829255422025 is 52022455292821.

The square root of 12829255422025 is 3581795.

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 2876921430201 + 9952333991824 = 1696149^2 + 3154732^2 .

It is not a de Polignac number, because 12829255422025 - 2³ = 12829255422017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 12829255422025.

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, 125311657 + ... + 125413993.

Almost surely, 2^{12829255422025} is an apocalyptic number.

12829255422025 is the 3581795-th square number.

12829255422025 is the 1790898-th centered octagonal number.

It is an amenable number.

12829255422025 is a deficient number, since it is larger than the sum of its proper divisors (5676471801644).

12829255422025 is an frugal number, since it uses more digits than its factorization.

12829255422025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204698 (or 102349 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 49.

Multiplying 12829255422025 by its sum of digits (49), we get a square (628633515679225 = 25072565²).

12829255422025 divided by its sum of digits (49) gives a square (261821539225 = 511685²).

The spelling of 12829255422025 in words is "twelve trillion, eight hundred twenty-nine billion, two hundred fifty-five million, four hundred twenty-two thousand, twenty-five".