172580509 has 2 divisors, whose sum is σ = 172580510. Its totient is φ = 172580508.

The previous prime is 172580491. The next prime is 172580519. The reversal of 172580509 is 905085271.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 163712025 + 8868484 = 12795^2 + 2978^2 .

It is a cyclic number.

It is not a de Polignac number, because 172580509 - 2¹³ = 172572317 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (172580519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 86290254 + 86290255.

It is an arithmetic number, because the mean of its divisors is an integer number (86290255).

Almost surely, 2^172580509 is an apocalyptic number.

It is an amenable number.

172580509 is a deficient number, since it is larger than the sum of its proper divisors (1).

172580509 is an equidigital number, since it uses as much as digits as its factorization.

172580509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 37.

The square root of 172580509 is about 13136.9901042819. The cubic root of 172580509 is about 556.7547297940.

The spelling of 172580509 in words is "one hundred seventy-two million, five hundred eighty thousand, five hundred nine".