1005124021 has 16 divisors (see below), whose sum is σ = 1139261760. Its totient is φ = 878389120.

The previous prime is 1005124013. The next prime is 1005124033. The reversal of 1005124021 is 1204215001.

It is not a de Polignac number, because 1005124021 - 2³ = 1005124013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005123986 and 1005124004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005134021) 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, 67566 + ... + 81088.

It is an arithmetic number, because the mean of its divisors is an integer number (71203860).

Almost surely, 2^1005124021 is an apocalyptic number.

1005124021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1005124021 is a deficient number, since it is larger than the sum of its proper divisors (134137739).

1005124021 is a wasteful number, since it uses less digits than its factorization.

1005124021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13796.

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1005124021 is about 31703.6909680876. The cubic root of 1005124021 is about 1001.7050979884.

Adding to 1005124021 its reverse (1204215001), we get a palindrome (2209339022).

The spelling of 1005124021 in words is "one billion, five million, one hundred twenty-four thousand, twenty-one".