10006511366503 has 16 divisors (see below), whose sum is σ = 10052799150240. Its totient is φ = 9960335769600.

The previous prime is 10006511366491. The next prime is 10006511366539. The reversal of 10006511366503 is 30566311560001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10006511366503 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006511306503) 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, 731409823 + ... + 731423503.

It is an arithmetic number, because the mean of its divisors is an integer number (628299946890).

Almost surely, 2^{10006511366503} is an apocalyptic number.

10006511366503 is a deficient number, since it is larger than the sum of its proper divisors (46287783737).

10006511366503 is a wasteful number, since it uses less digits than its factorization.

10006511366503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17538.

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

The spelling of 10006511366503 in words is "ten trillion, six billion, five hundred eleven million, three hundred sixty-six thousand, five hundred three".