1613709257 has 2 divisors, whose sum is σ = 1613709258. Its totient is φ = 1613709256.

The previous prime is 1613709239. The next prime is 1613709259. The reversal of 1613709257 is 7529073161.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1613709241 + 16 = 40171^2 + 4^2 .

It is a cyclic number.

It is not a de Polignac number, because 1613709257 - 2⁸ = 1613709001 is a prime.

It is a super-2 number, since 2×1613709257² = 5208115132254984098, which contains 22 as substring.

Together with 1613709259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1613709259) 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, 806854628 + 806854629.

It is an arithmetic number, because the mean of its divisors is an integer number (806854629).

Almost surely, 2^1613709257 is an apocalyptic number.

It is an amenable number.

1613709257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1613709257 is an equidigital number, since it uses as much as digits as its factorization.

1613709257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 79380, while the sum is 41.

The square root of 1613709257 is about 40171.0001991486. Note that the first 3 decimals coincide. The cubic root of 1613709257 is about 1172.9381088512.

The spelling of 1613709257 in words is "one billion, six hundred thirteen million, seven hundred nine thousand, two hundred fifty-seven".