57703697724977 has 2 divisors, whose sum is σ = 57703697724978. Its totient is φ = 57703697724976.

The previous prime is 57703697724971. The next prime is 57703697724979. The reversal of 57703697724977 is 77942779630775.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57496414204321 + 207283520656 = 7582639^2 + 455284^2 .

It is a cyclic number.

It is not a de Polignac number, because 57703697724977 - 2¹⁸ = 57703697462833 is a prime.

It is a super-2 number, since 2×57703697724977² (a number of 28 digits) contains 22 as substring.

Together with 57703697724979, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (57703697724971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28851848862488 + 28851848862489.

It is an arithmetic number, because the mean of its divisors is an integer number (28851848862489).

Almost surely, 2^{57703697724977} is an apocalyptic number.

It is an amenable number.

57703697724977 is a deficient number, since it is larger than the sum of its proper divisors (1).

57703697724977 is an equidigital number, since it uses as much as digits as its factorization.

57703697724977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6861289680, while the sum is 80.

The spelling of 57703697724977 in words is "fifty-seven trillion, seven hundred three billion, six hundred ninety-seven million, seven hundred twenty-four thousand, nine hundred seventy-seven".