3801605257 has 2 divisors, whose sum is σ = 3801605258. Its totient is φ = 3801605256.

The previous prime is 3801605207. The next prime is 3801605303. The reversal of 3801605257 is 7525061083.

3801605257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3240341776 + 561263481 = 56924^2 + 23691^2 .

It is an emirp because it is prime and its reverse (7525061083) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3801605257 - 2¹¹ = 3801603209 is a prime.

It is not a weakly prime, because it can be changed into another prime (3801605207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1900802628 + 1900802629.

It is an arithmetic number, because the mean of its divisors is an integer number (1900802629).

Almost surely, 2^3801605257 is an apocalyptic number.

It is an amenable number.

3801605257 is a deficient number, since it is larger than the sum of its proper divisors (1).

3801605257 is an equidigital number, since it uses as much as digits as its factorization.

3801605257 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 37.

The square root of 3801605257 is about 61657.1590085044. The cubic root of 3801605257 is about 1560.7104556247.

The spelling of 3801605257 in words is "three billion, eight hundred one million, six hundred five thousand, two hundred fifty-seven".