10502765195209 has 27 divisors (see below), whose sum is σ = 12276341376327. Its totient is φ = 8959222196064.

The previous prime is 10502765195179. The next prime is 10502765195213. The reversal of 10502765195209 is 90259156720501.

The square root of 10502765195209 is 3240797.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2132899598025 + 8369865597184 = 1460445^2 + 2893072^2 .

It is not a de Polignac number, because 10502765195209 - 2¹¹ = 10502765193161 is a prime.

It is a super-2 number, since 2×10502765195209² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10502765193209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5285738914 + ... + 5285740900.

Almost surely, 2^{10502765195209} is an apocalyptic number.

10502765195209 is the 3240797-th square number.

10502765195209 is the 1620399-th centered octagonal number.

It is an amenable number.

10502765195209 is a deficient number, since it is larger than the sum of its proper divisors (1773576181118).

10502765195209 is an frugal number, since it uses more digits than its factorization.

10502765195209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 52.

The spelling of 10502765195209 in words is "ten trillion, five hundred two billion, seven hundred sixty-five million, one hundred ninety-five thousand, two hundred nine".