16135561305 has 96 divisors (see below), whose sum is σ = 30544210944. Its totient is φ = 7848327168.

The previous prime is 16135561303. The next prime is 16135561307. The reversal of 16135561305 is 50316553161.

16135561305 is a `hidden beast` number, since 1 + 6 + 1 + 35 + 5 + 613 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (16135561303) and next prime (16135561307).

It is not a de Polignac number, because 16135561305 - 2¹ = 16135561303 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 16135561305.

It is not an unprimeable number, because it can be changed into a prime (16135561301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3701187 + ... + 3705543.

It is an arithmetic number, because the mean of its divisors is an integer number (318168864).

Almost surely, 2^16135561305 is an apocalyptic number.

16135561305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16135561305 is a deficient number, since it is larger than the sum of its proper divisors (14408649639).

16135561305 is a wasteful number, since it uses less digits than its factorization.

16135561305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4535 (or 4532 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 16135561305 in words is "sixteen billion, one hundred thirty-five million, five hundred sixty-one thousand, three hundred five".