61105965096513 has 32 divisors (see below), whose sum is σ = 86806324394496. Its totient is φ = 38101460099328.

The previous prime is 61105965096437. The next prime is 61105965096523. The reversal of 61105965096513 is 31569056950116.

It is not a de Polignac number, because 61105965096513 - 2¹⁴ = 61105965080129 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (61105965096523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73765006 + ... + 74588792.

It is an arithmetic number, because the mean of its divisors is an integer number (2712697637328).

Almost surely, 2^{61105965096513} is an apocalyptic number.

It is an amenable number.

61105965096513 is a deficient number, since it is larger than the sum of its proper divisors (25700359297983).

61105965096513 is a wasteful number, since it uses less digits than its factorization.

61105965096513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832893.

The product of its (nonzero) digits is 6561000, while the sum is 57.

The spelling of 61105965096513 in words is "sixty-one trillion, one hundred five billion, nine hundred sixty-five million, ninety-six thousand, five hundred thirteen".