1005037137921 has 16 divisors (see below), whose sum is σ = 1348023296000. Its totient is φ = 666044069328.

The previous prime is 1005037137859. The next prime is 1005037137953. The reversal of 1005037137921 is 1297317305001.

It is not a de Polignac number, because 1005037137921 - 2¹⁴ = 1005037121537 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005037137921.

It is not an unprimeable number, because it can be changed into a prime (1005037137521) 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 15 ways as a sum of consecutive naturals, for example, 125431 + ... + 1423308.

It is an arithmetic number, because the mean of its divisors is an integer number (84251456000).

Almost surely, 2^{1005037137921} is an apocalyptic number.

It is an amenable number.

1005037137921 is a deficient number, since it is larger than the sum of its proper divisors (342986158079).

1005037137921 is a wasteful number, since it uses less digits than its factorization.

1005037137921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550028.

The product of its (nonzero) digits is 39690, while the sum is 39.

The spelling of 1005037137921 in words is "one trillion, five billion, thirty-seven million, one hundred thirty-seven thousand, nine hundred twenty-one".