1003365106561 has 16 divisors (see below), whose sum is σ = 1084780771200. Its totient is φ = 924813065088.

The previous prime is 1003365106553. The next prime is 1003365106577. The reversal of 1003365106561 is 1656015633001.

It is a cyclic number.

It is not a de Polignac number, because 1003365106561 - 2³ = 1003365106553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 1003365106561.

It is not an unprimeable number, because it can be changed into a prime (1003365106061) 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, 18041445 + ... + 18096973.

It is an arithmetic number, because the mean of its divisors is an integer number (67798798200).

Almost surely, 2^{1003365106561} is an apocalyptic number.

It is an amenable number.

1003365106561 is a deficient number, since it is larger than the sum of its proper divisors (81415664639).

1003365106561 is a wasteful number, since it uses less digits than its factorization.

1003365106561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81288.

The product of its (nonzero) digits is 48600, while the sum is 37.

The spelling of 1003365106561 in words is "one trillion, three billion, three hundred sixty-five million, one hundred six thousand, five hundred sixty-one".