1005048891 has 80 divisors (see below), whose sum is σ = 1982154240. Its totient is φ = 491339520.

The previous prime is 1005048883. The next prime is 1005048901. The reversal of 1005048891 is 1988405001.

It is not a de Polignac number, because 1005048891 - 2³ = 1005048883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005048841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 101290 + ... + 110768.

It is an arithmetic number, because the mean of its divisors is an integer number (24776928).

Almost surely, 2^1005048891 is an apocalyptic number.

1005048891 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1005048891 is a deficient number, since it is larger than the sum of its proper divisors (977105349).

1005048891 is a wasteful number, since it uses less digits than its factorization.

1005048891 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9526 (or 9517 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1005048891 is about 31702.5060681328. The cubic root of 1005048891 is about 1001.6801392179.

The spelling of 1005048891 in words is "one billion, five million, forty-eight thousand, eight hundred ninety-one".