477772811311517 has 2 divisors, whose sum is σ = 477772811311518. Its totient is φ = 477772811311516.

The previous prime is 477772811311489. The next prime is 477772811311519. The reversal of 477772811311517 is 715113118277774.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 349294644209476 + 128478167102041 = 18689426^2 + 11334821^2 .

It is a cyclic number.

It is not a de Polignac number, because 477772811311517 - 2¹⁴ = 477772811295133 is a prime.

Together with 477772811311519, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 477772811311517.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (477772811311519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 238886405655758 + 238886405655759.

It is an arithmetic number, because the mean of its divisors is an integer number (238886405655759).

Almost surely, 2^{477772811311517} is an apocalyptic number.

It is an amenable number.

477772811311517 is a deficient number, since it is larger than the sum of its proper divisors (1).

477772811311517 is an equidigital number, since it uses as much as digits as its factorization.

477772811311517 is an evil number, because the sum of its binary digits is even.

The product of its digits is 16134720, while the sum is 62.

The spelling of 477772811311517 in words is "four hundred seventy-seven trillion, seven hundred seventy-two billion, eight hundred eleven million, three hundred eleven thousand, five hundred seventeen".