61889000625 has 135 divisors (see below), whose sum is σ = 116516853453. Its totient is φ = 31644180000.

The previous prime is 61889000587. The next prime is 61889000647. The reversal of 61889000625 is 52600098816.

The square root of 61889000625 is 248775.

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

61889000625 is a `hidden beast` number, since 6 + 18 + 8 + 9 + 0 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4852097649 + 57036902976 = 69657^2 + 238824^2 .

It is not a de Polignac number, because 61889000625 - 2¹³ = 61888992433 is a prime.

It is a super-2 number, since 2×61889000625² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 578401822 + ... + 578401928.

Almost surely, 2^61889000625 is an apocalyptic number.

61889000625 is the 248775-th square number.

61889000625 is the 124388-th centered octagonal number.

It is an amenable number.

61889000625 is a deficient number, since it is larger than the sum of its proper divisors (54627852828).

61889000625 is an equidigital number, since it uses as much as digits as its factorization.

61889000625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 61889000625 in words is "sixty-one billion, eight hundred eighty-nine million, six hundred twenty-five", and thus it is an aban number.