610610993 has 2 divisors, whose sum is σ = 610610994. Its totient is φ = 610610992.

The previous prime is 610610983. The next prime is 610611013. The reversal of 610610993 is 399016016.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 538564849 + 72046144 = 23207^2 + 8488^2 .

It is a cyclic number.

It is not a de Polignac number, because 610610993 - 2⁴ = 610610977 is a prime.

It is not a weakly prime, because it can be changed into another prime (610610983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 305305496 + 305305497.

It is an arithmetic number, because the mean of its divisors is an integer number (305305497).

Almost surely, 2^610610993 is an apocalyptic number.

It is an amenable number.

610610993 is a deficient number, since it is larger than the sum of its proper divisors (1).

610610993 is an equidigital number, since it uses as much as digits as its factorization.

610610993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8748, while the sum is 35.

The square root of 610610993 is about 24710.5441664080. The cubic root of 610610993 is about 848.3756720926.

The spelling of 610610993 in words is "six hundred ten million, six hundred ten thousand, nine hundred ninety-three".