877638410417 has 2 divisors, whose sum is σ = 877638410418. Its totient is φ = 877638410416.

The previous prime is 877638410381. The next prime is 877638410431. The reversal of 877638410417 is 714014836778.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 839613020416 + 38025390001 = 916304^2 + 195001^2 .

It is a cyclic number.

It is not a de Polignac number, because 877638410417 - 2¹⁴ = 877638394033 is a prime.

It is a super-2 number, since 2×877638410417² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (877638410497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 438819205208 + 438819205209.

It is an arithmetic number, because the mean of its divisors is an integer number (438819205209).

Almost surely, 2^877638410417 is an apocalyptic number.

It is an amenable number.

877638410417 is a deficient number, since it is larger than the sum of its proper divisors (1).

877638410417 is an equidigital number, since it uses as much as digits as its factorization.

877638410417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6322176, while the sum is 56.

The spelling of 877638410417 in words is "eight hundred seventy-seven billion, six hundred thirty-eight million, four hundred ten thousand, four hundred seventeen".