653509331 has 2 divisors, whose sum is σ = 653509332. Its totient is φ = 653509330.

The previous prime is 653509319. The next prime is 653509333. The reversal of 653509331 is 133905356.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 653509331 - 2²² = 649315027 is a prime.

It is a super-2 number, since 2×653509331² = 854148891408135122, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 653509333, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 653509291 and 653509300.

It is not a weakly prime, because it can be changed into another prime (653509333) 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, 326754665 + 326754666.

It is an arithmetic number, because the mean of its divisors is an integer number (326754666).

Almost surely, 2^653509331 is an apocalyptic number.

653509331 is a deficient number, since it is larger than the sum of its proper divisors (1).

653509331 is an equidigital number, since it uses as much as digits as its factorization.

653509331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36450, while the sum is 35.

The square root of 653509331 is about 25563.8285669420. The cubic root of 653509331 is about 867.7952413838.

The spelling of 653509331 in words is "six hundred fifty-three million, five hundred nine thousand, three hundred thirty-one".