77045654504657 has 2 divisors, whose sum is σ = 77045654504658. Its totient is φ = 77045654504656.

The previous prime is 77045654504603. The next prime is 77045654504803. The reversal of 77045654504657 is 75640545654077.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70296419415616 + 6749235089041 = 8384296^2 + 2597929^2 .

It is an emirp because it is prime and its reverse (75640545654077) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77045654504657 - 2³⁶ = 76976935027921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77045654504593 and 77045654504602.

It is not a weakly prime, because it can be changed into another prime (77045654504257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38522827252328 + 38522827252329.

It is an arithmetic number, because the mean of its divisors is an integer number (38522827252329).

Almost surely, 2^{77045654504657} is an apocalyptic number.

It is an amenable number.

77045654504657 is a deficient number, since it is larger than the sum of its proper divisors (1).

77045654504657 is an equidigital number, since it uses as much as digits as its factorization.

77045654504657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 493920000, while the sum is 65.

The spelling of 77045654504657 in words is "seventy-seven trillion, forty-five billion, six hundred fifty-four million, five hundred four thousand, six hundred fifty-seven".