61496560225 has 9 divisors (see below), whose sum is σ = 76257272217. Its totient is φ = 49196256240.

The previous prime is 61496560193. The next prime is 61496560231. The reversal of 61496560225 is 52206569416.

The square root of 61496560225 is 247985.

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 25799748129 + 35696812096 = 160623^2 + 188936^2 .

It is not a de Polignac number, because 61496560225 - 2⁵ = 61496560193 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 (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1215127 + ... + 1264723.

Almost surely, 2^61496560225 is an apocalyptic number.

61496560225 is the 247985-th square number.

61496560225 is the 123993-rd centered octagonal number.

It is an amenable number.

61496560225 is a deficient number, since it is larger than the sum of its proper divisors (14760711992).

61496560225 is an frugal number, since it uses more digits than its factorization.

61496560225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99204 (or 49602 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 61496560225 in words is "sixty-one billion, four hundred ninety-six million, five hundred sixty thousand, two hundred twenty-five".