13929055587225 has 135 divisors (see below), whose sum is σ = 25994807504391. Its totient is φ = 7373563747200.

The previous prime is 13929055587191. The next prime is 13929055587287. The reversal of 13929055587225 is 52278555092931.

It is a happy number.

The square root of 13929055587225 is 3732165.

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

13929055587225 is a `hidden beast` number, since 1 + 3 + 9 + 2 + 9 + 0 + 5 + 558 + 72 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 9875098846089 + 4053956741136 = 3142467^2 + 2013444^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 13929055587225 - 2³⁵ = 13894695848857 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 33085642515 + ... + 33085642935.

Almost surely, 2^{13929055587225} is an apocalyptic number.

13929055587225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13929055587225 is the 3732165-th square number.

13929055587225 is the 1866083-rd centered octagonal number.

It is an amenable number.

13929055587225 is a deficient number, since it is larger than the sum of its proper divisors (12065751917166).

13929055587225 is an frugal number, since it uses more digits than its factorization.

13929055587225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 68040000, while the sum is 63.

The spelling of 13929055587225 in words is "thirteen trillion, nine hundred twenty-nine billion, fifty-five million, five hundred eighty-seven thousand, two hundred twenty-five".