852972509 has 2 divisors, whose sum is σ = 852972510. Its totient is φ = 852972508.

The previous prime is 852972479. The next prime is 852972541. The reversal of 852972509 is 905279258.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 846228100 + 6744409 = 29090^2 + 2597^2 .

It is a cyclic number.

It is not a de Polignac number, because 852972509 - 2¹⁶ = 852906973 is a prime.

It is a super-2 number, since 2×852972509² = 1455124202219510162, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (852972599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 426486254 + 426486255.

It is an arithmetic number, because the mean of its divisors is an integer number (426486255).

Almost surely, 2^852972509 is an apocalyptic number.

It is an amenable number.

852972509 is a deficient number, since it is larger than the sum of its proper divisors (1).

852972509 is an equidigital number, since it uses as much as digits as its factorization.

852972509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 453600, while the sum is 47.

The square root of 852972509 is about 29205.6930922723. The cubic root of 852972509 is about 948.3711734274.

The spelling of 852972509 in words is "eight hundred fifty-two million, nine hundred seventy-two thousand, five hundred nine".