1015116165 has 64 divisors (see below), whose sum is σ = 2066987520. Its totient is φ = 463034880.

The previous prime is 1015116161. The next prime is 1015116187. The reversal of 1015116165 is 5616115101.

It is not a de Polignac number, because 1015116165 - 2² = 1015116161 is a prime.

It is a super-3 number, since 3×1015116165³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1015116161) 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 63 ways as a sum of consecutive naturals, for example, 582195 + ... + 583935.

It is an arithmetic number, because the mean of its divisors is an integer number (32296680).

Almost surely, 2^1015116165 is an apocalyptic number.

1015116165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1015116165 is an abundant number, since it is smaller than the sum of its proper divisors (1051871355).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1015116165 is a wasteful number, since it uses less digits than its factorization.

1015116165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The square root of 1015116165 is about 31860.8876994976. The cubic root of 1015116165 is about 1005.0135440367.

The spelling of 1015116165 in words is "one billion, fifteen million, one hundred sixteen thousand, one hundred sixty-five".