60997115304225 has 135 divisors (see below), whose sum is σ = 113693246245051. Its totient is φ = 32329920268800.

The previous prime is 60997115304187. The next prime is 60997115304233. The reversal of 60997115304225 is 52240351179906.

The square root of 60997115304225 is 7810065.

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

60997115304225 is a `hidden beast` number, since 6 + 0 + 9 + 97 + 11 + 530 + 4 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 21622193101089 + 39374922203136 = 4649967^2 + 6274944^2 .

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

It is not a de Polignac number, because 60997115304225 - 2⁹ = 60997115303713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 69236225785 + ... + 69236226665.

Almost surely, 2^{60997115304225} is an apocalyptic number.

60997115304225 is the 7810065-th square number.

60997115304225 is the 3905033-rd centered octagonal number.

It is an amenable number.

60997115304225 is a deficient number, since it is larger than the sum of its proper divisors (52696130940826).

60997115304225 is an frugal number, since it uses more digits than its factorization.

60997115304225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 60997115304225 in words is "sixty trillion, nine hundred ninety-seven billion, one hundred fifteen million, three hundred four thousand, two hundred twenty-five".