10057087938077 has 2 divisors, whose sum is σ = 10057087938078. Its totient is φ = 10057087938076.

The previous prime is 10057087938059. The next prime is 10057087938083. The reversal of 10057087938077 is 77083978075001.

It is a happy number.

10057087938077 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., 9437638661476 + 619449276601 = 3072074^2 + 787051^2 .

It is a cyclic number.

It is not a de Polignac number, because 10057087938077 - 2⁶ = 10057087938013 is a prime.

It is a super-3 number, since 3×10057087938077³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10057087938377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5028543969038 + 5028543969039.

It is an arithmetic number, because the mean of its divisors is an integer number (5028543969039).

Almost surely, 2^{10057087938077} is an apocalyptic number.

It is an amenable number.

10057087938077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10057087938077 is an equidigital number, since it uses as much as digits as its factorization.

10057087938077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20744640, while the sum is 62.

The spelling of 10057087938077 in words is "ten trillion, fifty-seven billion, eighty-seven million, nine hundred thirty-eight thousand, seventy-seven".