61337952225 has 243 divisors, whose sum is σ = 129082525299. Its totient is φ = 27817732800.

The previous prime is 61337952199. The next prime is 61337952227. The reversal of 61337952225 is 52225973316.

The square root of 61337952225 is 247665.

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

61337952225 is a `hidden beast` number, since 6 + 1 + 3 + 379 + 52 + 225 = 666.

61337952225 is digitally balanced in base 2, 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 only one way, i.e., 22081662801 + 39256289424 = 148599^2 + 198132^2 .

It is not a de Polignac number, because 61337952225 - 2²¹ = 61335855073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (61337952227) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 776429736 + ... + 776429814.

Almost surely, 2^61337952225 is an apocalyptic number.

61337952225 is the 247665-th square number.

61337952225 is the 123833-rd centered octagonal number.

It is an amenable number.

61337952225 is an abundant number, since it is smaller than the sum of its proper divisors (67744573074).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61337952225 is a wasteful number, since it uses less digits than its factorization.

61337952225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 117 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The spelling of 61337952225 in words is "sixty-one billion, three hundred thirty-seven million, nine hundred fifty-two thousand, two hundred twenty-five".