38777440430257 has 2 divisors, whose sum is σ = 38777440430258. Its totient is φ = 38777440430256.

The previous prime is 38777440430227. The next prime is 38777440430327. The reversal of 38777440430257 is 75203404477783.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36656619089841 + 2120821340416 = 6054471^2 + 1456304^2 .

It is a cyclic number.

It is not a de Polignac number, because 38777440430257 - 2³¹ = 38775292946609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38777440430195 and 38777440430204.

It is not a weakly prime, because it can be changed into another prime (38777440430227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19388720215128 + 19388720215129.

It is an arithmetic number, because the mean of its divisors is an integer number (19388720215129).

Almost surely, 2^{38777440430257} is an apocalyptic number.

It is an amenable number.

38777440430257 is a deficient number, since it is larger than the sum of its proper divisors (1).

38777440430257 is an equidigital number, since it uses as much as digits as its factorization.

38777440430257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 110638080, while the sum is 61.

The spelling of 38777440430257 in words is "thirty-eight trillion, seven hundred seventy-seven billion, four hundred forty million, four hundred thirty thousand, two hundred fifty-seven".