5202164369617 has 24 divisors (see below), whose sum is σ = 5584163868792. Its totient is φ = 4844833536000.

The previous prime is 5202164369587. The next prime is 5202164369621. The reversal of 5202164369617 is 7169634612025.

It can be written as a sum of positive squares in 12 ways, for example, as 1173790229056 + 4028374140561 = 1083416^2 + 2007081^2 .

It is not a de Polignac number, because 5202164369617 - 2²⁷ = 5202030151889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5202164369117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50533117 + ... + 50635957.

It is an arithmetic number, because the mean of its divisors is an integer number (232673494533).

Almost surely, 2^{5202164369617} is an apocalyptic number.

It is an amenable number.

5202164369617 is a deficient number, since it is larger than the sum of its proper divisors (381999499175).

5202164369617 is a wasteful number, since it uses less digits than its factorization.

5202164369617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104709 (or 104692 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 5202164369617 in words is "five trillion, two hundred two billion, one hundred sixty-four million, three hundred sixty-nine thousand, six hundred seventeen".