2629797372225 has 45 divisors (see below), whose sum is σ = 4871428977657. Its totient is φ = 1402519678560.

The previous prime is 2629797372217. The next prime is 2629797372253. The reversal of 2629797372225 is 5222737979262.

The square root of 2629797372225 is 1621665.

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

2629797372225 is a `hidden beast` number, since 2 + 6 + 297 + 97 + 37 + 2 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 852119148609 + 1777678223616 = 923103^2 + 1333296^2 .

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

It is not a de Polignac number, because 2629797372225 - 2³ = 2629797372217 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, 72956907 + ... + 72992943.

Almost surely, 2^{2629797372225} is an apocalyptic number.

2629797372225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2629797372225 is the 1621665-th square number.

2629797372225 is the 810833-rd centered octagonal number.

It is an amenable number.

2629797372225 is a deficient number, since it is larger than the sum of its proper divisors (2241631605432).

2629797372225 is an frugal number, since it uses more digits than its factorization.

2629797372225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72096 (or 36045 counting only the distinct ones).

The product of its digits is 80015040, while the sum is 63.

The spelling of 2629797372225 in words is "two trillion, six hundred twenty-nine billion, seven hundred ninety-seven million, three hundred seventy-two thousand, two hundred twenty-five".