2623205257 has 2 divisors, whose sum is σ = 2623205258. Its totient is φ = 2623205256.

The previous prime is 2623205197. The next prime is 2623205309. The reversal of 2623205257 is 7525023262.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2542277241 + 80928016 = 50421^2 + 8996^2 .

It is a cyclic number.

It is not a de Polignac number, because 2623205257 - 2¹⁹ = 2622680969 is a prime.

It is not a weakly prime, because it can be changed into another prime (2623205657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1311602628 + 1311602629.

It is an arithmetic number, because the mean of its divisors is an integer number (1311602629).

Almost surely, 2^2623205257 is an apocalyptic number.

It is an amenable number.

2623205257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2623205257 is an equidigital number, since it uses as much as digits as its factorization.

2623205257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 2623205257 is about 51217.2359367430. The cubic root of 2623205257 is about 1379.1476317613.

The spelling of 2623205257 in words is "two billion, six hundred twenty-three million, two hundred five thousand, two hundred fifty-seven".