610537009 has 2 divisors, whose sum is σ = 610537010. Its totient is φ = 610537008.

The previous prime is 610537007. The next prime is 610537049. The reversal of 610537009 is 900735016.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 467208225 + 143328784 = 21615^2 + 11972^2 .

It is a cyclic number.

It is not a de Polignac number, because 610537009 - 2¹ = 610537007 is a prime.

Together with 610537007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (610537007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 305268504 + 305268505.

It is an arithmetic number, because the mean of its divisors is an integer number (305268505).

Almost surely, 2^610537009 is an apocalyptic number.

It is an amenable number.

610537009 is a deficient number, since it is larger than the sum of its proper divisors (1).

610537009 is an equidigital number, since it uses as much as digits as its factorization.

610537009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 610537009 is about 24709.0471082962. The cubic root of 610537009 is about 848.3414065446.

The spelling of 610537009 in words is "six hundred ten million, five hundred thirty-seven thousand, nine".