61120200625 has 135 divisors (see below), whose sum is σ = 89840069319. Its totient is φ = 41533800000.

The previous prime is 61120200611. The next prime is 61120200629. The reversal of 61120200625 is 52600202116.

The square root of 61120200625 is 247225.

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

It can be written as a sum of positive squares in 7 ways, for example, as 45713433249 + 15406767376 = 213807^2 + 124124^2 .

It is not a de Polignac number, because 61120200625 - 2⁵ = 61120200593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 61120200625.

It is not an unprimeable number, because it can be changed into a prime (61120200629) 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, 1971619360 + ... + 1971619390.

Almost surely, 2^61120200625 is an apocalyptic number.

61120200625 is the 247225-th square number.

61120200625 is the 123613-rd centered octagonal number.

It is an amenable number.

61120200625 is a deficient number, since it is larger than the sum of its proper divisors (28719868694).

61120200625 is an equidigital number, since it uses as much as digits as its factorization.

61120200625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Multiplying 61120200625 by its sum of digits (25), we get a square (1528005015625 = 1236125²).

61120200625 divided by its sum of digits (25) gives a square (2444808025 = 49445²).

The spelling of 61120200625 in words is "sixty-one billion, one hundred twenty million, two hundred thousand, six hundred twenty-five".