61392450625 has 135 divisors (see below), whose sum is σ = 91298238493. Its totient is φ = 41229760000.

The previous prime is 61392450617. The next prime is 61392450629. The reversal of 61392450625 is 52605429316.

The square root of 61392450625 is 247775.

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

It can be written as a sum of positive squares in 22 ways, for example, as 57910978609 + 3481472016 = 240647^2 + 59004^2 .

It is not a de Polignac number, because 61392450625 - 2³ = 61392450617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61392450629) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1158348099 + ... + 1158348151.

Almost surely, 2^61392450625 is an apocalyptic number.

61392450625 is the 247775-th square number.

61392450625 is the 123888-th centered octagonal number.

It is an amenable number.

61392450625 is a deficient number, since it is larger than the sum of its proper divisors (29905787868).

61392450625 is an equidigital number, since it uses as much as digits as its factorization.

61392450625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 61392450625 in words is "sixty-one billion, three hundred ninety-two million, four hundred fifty thousand, six hundred twenty-five".