61006056010600 has 48 divisors (see below), whose sum is σ = 141863135719500. Its totient is φ = 24398283824640.

The previous prime is 61006056010597. The next prime is 61006056010633. The reversal of 61006056010600 is 601065060016.

It can be written as a sum of positive squares in 6 ways, for example, as 45772287932484 + 15233768078116 = 6765522^2 + 3903046^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24683775 + ... + 27042574.

Almost surely, 2^{61006056010600} is an apocalyptic number.

It is an amenable number.

61006056010600 is an abundant number, since it is smaller than the sum of its proper divisors (80857079708900).

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

61006056010600 is a wasteful number, since it uses less digits than its factorization.

61006056010600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51732262 (or 51732253 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 61006056010600 in words is "sixty-one trillion, six billion, fifty-six million, ten thousand, six hundred".