61009988004 has 81 divisors (see below), whose sum is σ = 179428927041. Its totient is φ = 17428461120.

The previous prime is 61009987993. The next prime is 61009988027. The reversal of 61009988004 is 40088990016.

The square root of 61009988004 is 247002.

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

It can be written as a sum of positive squares in only one way, i.e., 50849348004 + 10160640000 = 225498^2 + 100800^2 .

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 26 ways as a sum of consecutive naturals, for example, 10371144 + ... + 10377024.

Almost surely, 2^61009988004 is an apocalyptic number.

61009988004 is the 247002-nd square number.

It is an amenable number.

61009988004 is an abundant number, since it is smaller than the sum of its proper divisors (118418939037).

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

61009988004 is an equidigital number, since it uses as much as digits as its factorization.

61009988004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11786 (or 5893 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 61009988004 in words is "sixty-one billion, nine million, nine hundred eighty-eight thousand, four".