61605116013 has 32 divisors (see below), whose sum is σ = 98834467840. Its totient is φ = 33343643520.

The previous prime is 61605115963. The next prime is 61605116021. The reversal of 61605116013 is 31061150616.

It is not a de Polignac number, because 61605116013 - 2¹⁶ = 61605050477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61605116113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2610081 + ... + 2633577.

It is an arithmetic number, because the mean of its divisors is an integer number (3088577120).

Almost surely, 2^61605116013 is an apocalyptic number.

It is an amenable number.

61605116013 is a deficient number, since it is larger than the sum of its proper divisors (37229351827).

61605116013 is a wasteful number, since it uses less digits than its factorization.

61605116013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30097.

The product of its (nonzero) digits is 3240, while the sum is 30.

Adding to 61605116013 its reverse (31061150616), we get a palindrome (92666266629).

The spelling of 61605116013 in words is "sixty-one billion, six hundred five million, one hundred sixteen thousand, thirteen".