10057257556667 has 2 divisors, whose sum is σ = 10057257556668. Its totient is φ = 10057257556666.

The previous prime is 10057257556613. The next prime is 10057257556699. The reversal of 10057257556667 is 76665575275001.

10057257556667 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 is a cyclic number.

It is not a de Polignac number, because 10057257556667 - 2²⁶ = 10057190447803 is a prime.

It is a super-2 number, since 2×10057257556667² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10057257556867) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5028628778333 + 5028628778334.

It is an arithmetic number, because the mean of its divisors is an integer number (5028628778334).

Almost surely, 2^{10057257556667} is an apocalyptic number.

10057257556667 is a deficient number, since it is larger than the sum of its proper divisors (1).

10057257556667 is an equidigital number, since it uses as much as digits as its factorization.

10057257556667 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 92610000, while the sum is 62.

The spelling of 10057257556667 in words is "ten trillion, fifty-seven billion, two hundred fifty-seven million, five hundred fifty-six thousand, six hundred sixty-seven".