61505116115009 has 16 divisors (see below), whose sum is σ = 70614844984320. Its totient is φ = 52476262248960.

The previous prime is 61505116114973. The next prime is 61505116115011. The reversal of 61505116115009 is 90051161150516.

It is a cyclic number.

It is not a de Polignac number, because 61505116115009 - 2⁴⁰ = 60405604487233 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (61505116115099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11427257 + ... + 15924585.

It is an arithmetic number, because the mean of its divisors is an integer number (4413427811520).

Almost surely, 2^{61505116115009} is an apocalyptic number.

It is an amenable number.

61505116115009 is a deficient number, since it is larger than the sum of its proper divisors (9109728869311).

61505116115009 is a wasteful number, since it uses less digits than its factorization.

61505116115009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4506320.

The product of its (nonzero) digits is 40500, while the sum is 41.

The spelling of 61505116115009 in words is "sixty-one trillion, five hundred five billion, one hundred sixteen million, one hundred fifteen thousand, nine".