1001090204059 has 16 divisors (see below), whose sum is σ = 1143205263360. Its totient is φ = 868319928000.

The previous prime is 1001090204053. The next prime is 1001090204063. The reversal of 1001090204059 is 9504020901001.

It is a cyclic number.

It is not a de Polignac number, because 1001090204059 - 2¹⁷ = 1001090072987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 1001090204059.

It is not an unprimeable number, because it can be changed into a prime (1001090204053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20650074 + ... + 20698495.

It is an arithmetic number, because the mean of its divisors is an integer number (71450328960).

Almost surely, 2^{1001090204059} is an apocalyptic number.

1001090204059 is a deficient number, since it is larger than the sum of its proper divisors (142115059301).

1001090204059 is a wasteful number, since it uses less digits than its factorization.

1001090204059 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41348682.

The product of its (nonzero) digits is 3240, while the sum is 31.

The spelling of 1001090204059 in words is "one trillion, one billion, ninety million, two hundred four thousand, fifty-nine".