1005085761001 has 16 divisors (see below), whose sum is σ = 1209196057600. Its totient is φ = 816112393488.

The previous prime is 1005085760989. The next prime is 1005085761049. The reversal of 1005085761001 is 1001675805001.

It is not a de Polignac number, because 1005085761001 - 2²¹ = 1005083663849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005085761061) 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, 2172940 + ... + 2594578.

It is an arithmetic number, because the mean of its divisors is an integer number (75574753600).

Almost surely, 2^{1005085761001} is an apocalyptic number.

It is an amenable number.

1005085761001 is a deficient number, since it is larger than the sum of its proper divisors (204110296599).

1005085761001 is a wasteful number, since it uses less digits than its factorization.

1005085761001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439588.

The product of its (nonzero) digits is 8400, while the sum is 34.

The spelling of 1005085761001 in words is "one trillion, five billion, eighty-five million, seven hundred sixty-one thousand, one".