2656133955225 has 45 divisors (see below), whose sum is σ = 4920214108557. Its totient is φ = 1416565661760.

The previous prime is 2656133955157. The next prime is 2656133955301. The reversal of 2656133955225 is 5225593316562.

The square root of 2656133955225 is 1629765.

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

2656133955225 is a `hidden beast` number, since 2 + 6 + 5 + 61 + 3 + 3 + 9 + 552 + 25 = 666.

2656133955225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 788549328009 + 1867584627216 = 888003^2 + 1366596^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2656133955225 - 2²³ = 2656125566617 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 73321317 + ... + 73357533.

Almost surely, 2^{2656133955225} is an apocalyptic number.

2656133955225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2656133955225 is the 1629765-th square number.

2656133955225 is the 814883-rd centered octagonal number.

It is an amenable number.

2656133955225 is a deficient number, since it is larger than the sum of its proper divisors (2264080153332).

2656133955225 is an frugal number, since it uses more digits than its factorization.

2656133955225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72456 (or 36225 counting only the distinct ones).

The product of its digits is 14580000, while the sum is 54.

The spelling of 2656133955225 in words is "two trillion, six hundred fifty-six billion, one hundred thirty-three million, nine hundred fifty-five thousand, two hundred twenty-five".