8200723372613 has 2 divisors, whose sum is σ = 8200723372614. Its totient is φ = 8200723372612.

The previous prime is 8200723372607. The next prime is 8200723372651. The reversal of 8200723372613 is 3162733270028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5405146060609 + 2795577312004 = 2324897^2 + 1671998^2 .

It is a cyclic number.

It is not a de Polignac number, because 8200723372613 - 2¹⁸ = 8200723110469 is a prime.

It is a super-2 number, since 2×8200723372613² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8200723372013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4100361686306 + 4100361686307.

It is an arithmetic number, because the mean of its divisors is an integer number (4100361686307).

Almost surely, 2^{8200723372613} is an apocalyptic number.

It is an amenable number.

8200723372613 is a deficient number, since it is larger than the sum of its proper divisors (1).

8200723372613 is an equidigital number, since it uses as much as digits as its factorization.

8200723372613 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 508032, while the sum is 44.

The spelling of 8200723372613 in words is "eight trillion, two hundred billion, seven hundred twenty-three million, three hundred seventy-two thousand, six hundred thirteen".