1005165051 has 16 divisors (see below), whose sum is σ = 1501575168. Its totient is φ = 592725600.

The previous prime is 1005165047. The next prime is 1005165053. The reversal of 1005165051 is 1505615001.

It is not a de Polignac number, because 1005165051 - 2² = 1005165047 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005165053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410395 + ... + 412836.

It is an arithmetic number, because the mean of its divisors is an integer number (93848448).

Almost surely, 2^1005165051 is an apocalyptic number.

1005165051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1005165051 is a deficient number, since it is larger than the sum of its proper divisors (496410117).

1005165051 is a wasteful number, since it uses less digits than its factorization.

1005165051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823282.

The product of its (nonzero) digits is 750, while the sum is 24.

The square root of 1005165051 is about 31704.3380470244. The cubic root of 1005165051 is about 1001.7187279485.

The spelling of 1005165051 in words is "one billion, five million, one hundred sixty-five thousand, fifty-one".