4012813376657 has 2 divisors, whose sum is σ = 4012813376658. Its totient is φ = 4012813376656.

The previous prime is 4012813376651. The next prime is 4012813376681. The reversal of 4012813376657 is 7566733182104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3917850174736 + 94963201921 = 1979356^2 + 308161^2 .

It is a cyclic number.

It is not a de Polignac number, because 4012813376657 - 2⁴ = 4012813376641 is a prime.

It is a super-2 number, since 2×4012813376657² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4012813376599 and 4012813376608.

It is not a weakly prime, because it can be changed into another prime (4012813376651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2006406688328 + 2006406688329.

It is an arithmetic number, because the mean of its divisors is an integer number (2006406688329).

Almost surely, 2^{4012813376657} is an apocalyptic number.

It is an amenable number.

4012813376657 is a deficient number, since it is larger than the sum of its proper divisors (1).

4012813376657 is an equidigital number, since it uses as much as digits as its factorization.

4012813376657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5080320, while the sum is 53.

The spelling of 4012813376657 in words is "four trillion, twelve billion, eight hundred thirteen million, three hundred seventy-six thousand, six hundred fifty-seven".