427117521177 has 10 divisors (see below), whose sum is σ = 638039753978. Its totient is φ = 284745014064.

The previous prime is 427117521163. The next prime is 427117521191. The reversal of 427117521177 is 771125711724.

427117521177 is a `hidden beast` number, since 4 + 2 + 7 + 117 + 521 + 1 + 7 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (427117521163) and next prime (427117521191).

It can be written as a sum of positive squares in only one way, i.e., 404408236761 + 22709284416 = 635931^2 + 150696^2 .

It is not a de Polignac number, because 427117521177 - 2¹⁶ = 427117455641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (427117521877) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2636527828 + ... + 2636527989.

Almost surely, 2^427117521177 is an apocalyptic number.

It is an amenable number.

427117521177 is a deficient number, since it is larger than the sum of its proper divisors (210922232801).

427117521177 is an equidigital number, since it uses as much as digits as its factorization.

427117521177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5273055829 (or 5273055820 counting only the distinct ones).

The product of its digits is 192080, while the sum is 45.

The spelling of 427117521177 in words is "four hundred twenty-seven billion, one hundred seventeen million, five hundred twenty-one thousand, one hundred seventy-seven".