1005301164 has 48 divisors (see below), whose sum is σ = 2682487808. Its totient is φ = 287048448.

The previous prime is 1005301147. The next prime is 1005301207. The reversal of 1005301164 is 4611035001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1005301164.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189492 + ... + 194724.

Almost surely, 2^1005301164 is an apocalyptic number.

1005301164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1005301164 is an abundant number, since it is smaller than the sum of its proper divisors (1677186644).

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

1005301164 is a wasteful number, since it uses less digits than its factorization.

1005301164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7534 (or 7532 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1005301164 is about 31706.4845733487. The cubic root of 1005301164 is about 1001.7639413481.

Adding to 1005301164 its reverse (4611035001), we get a palindrome (5616336165).

The spelling of 1005301164 in words is "one billion, five million, three hundred one thousand, one hundred sixty-four".