10084535500813 has 2 divisors, whose sum is σ = 10084535500814. Its totient is φ = 10084535500812.

The previous prime is 10084535500757. The next prime is 10084535500841. The reversal of 10084535500813 is 31800553548001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9608493459049 + 476042041764 = 3099757^2 + 689958^2 .

It is a cyclic number.

It is not a de Polignac number, because 10084535500813 - 2²⁵ = 10084501946381 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10084535500813.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10084535500513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5042267750406 + 5042267750407.

It is an arithmetic number, because the mean of its divisors is an integer number (5042267750407).

Almost surely, 2^{10084535500813} is an apocalyptic number.

It is an amenable number.

10084535500813 is a deficient number, since it is larger than the sum of its proper divisors (1).

10084535500813 is an equidigital number, since it uses as much as digits as its factorization.

10084535500813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288000, while the sum is 43.

The spelling of 10084535500813 in words is "ten trillion, eighty-four billion, five hundred thirty-five million, five hundred thousand, eight hundred thirteen".