2627456831957 has 2 divisors, whose sum is σ = 2627456831958. Its totient is φ = 2627456831956.

The previous prime is 2627456831941. The next prime is 2627456832001. The reversal of 2627456831957 is 7591386547262.

2627456831957 is digitally balanced in base 3, 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., 1423167877156 + 1204288954801 = 1192966^2 + 1097401^2 .

It is a cyclic number.

It is not a de Polignac number, because 2627456831957 - 2⁴ = 2627456831941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2627456831893 and 2627456831902.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2627458831957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1313728415978 + 1313728415979.

It is an arithmetic number, because the mean of its divisors is an integer number (1313728415979).

Almost surely, 2^{2627456831957} is an apocalyptic number.

It is an amenable number.

2627456831957 is a deficient number, since it is larger than the sum of its proper divisors (1).

2627456831957 is an equidigital number, since it uses as much as digits as its factorization.

2627456831957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 152409600, while the sum is 65.

The spelling of 2627456831957 in words is "two trillion, six hundred twenty-seven billion, four hundred fifty-six million, eight hundred thirty-one thousand, nine hundred fifty-seven".