431513209 has 2 divisors, whose sum is σ = 431513210. Its totient is φ = 431513208.

The previous prime is 431513191. The next prime is 431513219. The reversal of 431513209 is 902315134.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 429649984 + 1863225 = 20728^2 + 1365^2 .

It is a cyclic number.

It is not a de Polignac number, because 431513209 - 2⁵ = 431513177 is a prime.

It is not a weakly prime, because it can be changed into another prime (431513219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215756604 + 215756605.

It is an arithmetic number, because the mean of its divisors is an integer number (215756605).

Almost surely, 2^431513209 is an apocalyptic number.

It is an amenable number.

431513209 is a deficient number, since it is larger than the sum of its proper divisors (1).

431513209 is an equidigital number, since it uses as much as digits as its factorization.

431513209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 431513209 is about 20772.8960186104. The cubic root of 431513209 is about 755.6685795940.

It can be divided in two parts, 43151 and 3209, that added together give a triangular number (46360 = T₃₀₄).

The spelling of 431513209 in words is "four hundred thirty-one million, five hundred thirteen thousand, two hundred nine".