2551813057 has 2 divisors, whose sum is σ = 2551813058. Its totient is φ = 2551813056.

The previous prime is 2551813001. The next prime is 2551813079. The reversal of 2551813057 is 7503181552.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1972159281 + 579653776 = 44409^2 + 24076^2 .

It is a cyclic number.

It is not a de Polignac number, because 2551813057 - 2¹⁵ = 2551780289 is a prime.

It is not a weakly prime, because it can be changed into another prime (2551811057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1275906528 + 1275906529.

It is an arithmetic number, because the mean of its divisors is an integer number (1275906529).

Almost surely, 2^2551813057 is an apocalyptic number.

It is an amenable number.

2551813057 is a deficient number, since it is larger than the sum of its proper divisors (1).

2551813057 is an equidigital number, since it uses as much as digits as its factorization.

2551813057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42000, while the sum is 37.

The square root of 2551813057 is about 50515.4734413130. The cubic root of 2551813057 is about 1366.5209213274.

The spelling of 2551813057 in words is "two billion, five hundred fifty-one million, eight hundred thirteen thousand, fifty-seven".