2551957 has 2 divisors, whose sum is σ = 2551958. Its totient is φ = 2551956.

The previous prime is 2551943. The next prime is 2551961. The reversal of 2551957 is 7591552.

2551957 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., 2090916 + 461041 = 1446^2 + 679^2 .

It is a cyclic number.

It is not a de Polignac number, because 2551957 - 2¹⁵ = 2519189 is a prime.

2551957 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2551987) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1275978 + 1275979.

It is an arithmetic number, because the mean of its divisors is an integer number (1275979).

2^2551957 is an apocalyptic number.

It is an amenable number.

2551957 is a deficient number, since it is larger than the sum of its proper divisors (1).

2551957 is an equidigital number, since it uses as much as digits as its factorization.

2551957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15750, while the sum is 34.

The square root of 2551957 is about 1597.4845852151. The cubic root of 2551957 is about 136.6546615140.

The spelling of 2551957 in words is "two million, five hundred fifty-one thousand, nine hundred fifty-seven".