61000100016 has 40 divisors (see below), whose sum is σ = 158242967040. Its totient is φ = 20248286016.

The previous prime is 61000099981. The next prime is 61000100017.

61000100016 is nontrivially palindromic in base 10.

61000100016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 61000099968 and 61000100004.

It is not an unprimeable number, because it can be changed into a prime (61000100017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2647180 + ... + 2670123.

It is an arithmetic number, because the mean of its divisors is an integer number (3956074176).

Almost surely, 2^61000100016 is an apocalyptic number.

It is an amenable number.

61000100016 is an abundant number, since it is smaller than the sum of its proper divisors (97242867024).

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

61000100016 is a wasteful number, since it uses less digits than its factorization.

61000100016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5317553 (or 5317547 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The spelling of 61000100016 in words is "sixty-one billion, one hundred thousand, sixteen".