10057257294481 has 2 divisors, whose sum is σ = 10057257294482. Its totient is φ = 10057257294480.

The previous prime is 10057257294479. The next prime is 10057257294503. The reversal of 10057257294481 is 18449275275001.

10057257294481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8388293025025 + 1668964269456 = 2896255^2 + 1291884^2 .

It is a cyclic number.

It is not a de Polignac number, because 10057257294481 - 2¹ = 10057257294479 is a prime.

It is a super-2 number, since 2×10057257294481² (a number of 27 digits) contains 22 as substring.

Together with 10057257294479, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10057257294781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5028628647240 + 5028628647241.

It is an arithmetic number, because the mean of its divisors is an integer number (5028628647241).

Almost surely, 2^{10057257294481} is an apocalyptic number.

It is an amenable number.

10057257294481 is a deficient number, since it is larger than the sum of its proper divisors (1).

10057257294481 is an equidigital number, since it uses as much as digits as its factorization.

10057257294481 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5644800, while the sum is 55.

The spelling of 10057257294481 in words is "ten trillion, fifty-seven billion, two hundred fifty-seven million, two hundred ninety-four thousand, four hundred eighty-one".