4057256993 has 2 divisors, whose sum is σ = 4057256994. Its totient is φ = 4057256992.

The previous prime is 4057256989. The next prime is 4057257019. The reversal of 4057256993 is 3996527504.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2990777344 + 1066479649 = 54688^2 + 32657^2 .

It is a cyclic number.

It is not a de Polignac number, because 4057256993 - 2² = 4057256989 is a prime.

It is a super-3 number, since 3×4057256993³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (4057256933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2028628496 + 2028628497.

It is an arithmetic number, because the mean of its divisors is an integer number (2028628497).

Almost surely, 2^4057256993 is an apocalyptic number.

It is an amenable number.

4057256993 is a deficient number, since it is larger than the sum of its proper divisors (1).

4057256993 is an equidigital number, since it uses as much as digits as its factorization.

4057256993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2041200, while the sum is 50.

The square root of 4057256993 is about 63696.6011102633. The cubic root of 4057256993 is about 1594.9393481324.

The spelling of 4057256993 in words is "four billion, fifty-seven million, two hundred fifty-six thousand, nine hundred ninety-three".