10006733805053 has 2 divisors, whose sum is σ = 10006733805054. Its totient is φ = 10006733805052.

The previous prime is 10006733805041. The next prime is 10006733805191. The reversal of 10006733805053 is 35050833760001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8286326445604 + 1720407359449 = 2878598^2 + 1311643^2 .

It is a cyclic number.

It is not a de Polignac number, because 10006733805053 - 2⁶ = 10006733804989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10006733805053.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10006733805353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5003366902526 + 5003366902527.

It is an arithmetic number, because the mean of its divisors is an integer number (5003366902527).

Almost surely, 2^{10006733805053} is an apocalyptic number.

It is an amenable number.

10006733805053 is a deficient number, since it is larger than the sum of its proper divisors (1).

10006733805053 is an equidigital number, since it uses as much as digits as its factorization.

10006733805053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 226800, while the sum is 41.

The spelling of 10006733805053 in words is "ten trillion, six billion, seven hundred thirty-three million, eight hundred five thousand, fifty-three".