10116513561561 has 16 divisors (see below), whose sum is σ = 15580512865728. Its totient is φ = 5770560320000.

The previous prime is 10116513561559. The next prime is 10116513561599. The reversal of 10116513561561 is 16516531561101.

It is a cyclic number.

It is not a de Polignac number, because 10116513561561 - 2¹ = 10116513561559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10116513561521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9016499940 + ... + 9016501061.

It is an arithmetic number, because the mean of its divisors is an integer number (973782054108).

Almost surely, 2^{10116513561561} is an apocalyptic number.

10116513561561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10116513561561 is a deficient number, since it is larger than the sum of its proper divisors (5463999304167).

10116513561561 is a wasteful number, since it uses less digits than its factorization.

10116513561561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18033001032.

The product of its (nonzero) digits is 81000, while the sum is 42.

The spelling of 10116513561561 in words is "ten trillion, one hundred sixteen billion, five hundred thirteen million, five hundred sixty-one thousand, five hundred sixty-one".