527712817 has 2 divisors, whose sum is σ = 527712818. Its totient is φ = 527712816.

The previous prime is 527712781. The next prime is 527712847. The reversal of 527712817 is 718217725.

Together with previous prime (527712781) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 407393856 + 120318961 = 20184^2 + 10969^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-527712817 is a prime.

It is equal to p_27736690 and since 527712817 and 27736690 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 527712817.

It is not a weakly prime, because it can be changed into another prime (527712847) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 263856408 + 263856409.

It is an arithmetic number, because the mean of its divisors is an integer number (263856409).

Almost surely, 2^527712817 is an apocalyptic number.

It is an amenable number.

527712817 is a deficient number, since it is larger than the sum of its proper divisors (1).

527712817 is an equidigital number, since it uses as much as digits as its factorization.

527712817 is an evil number, because the sum of its binary digits is even.

The product of its digits is 54880, while the sum is 40.

The square root of 527712817 is about 22972.0007182657. Note that the first 3 decimals coincide. The cubic root of 527712817 is about 808.1014402467.

It can be divided in two parts, 527712 and 817, that added together give a square (528529 = 727²).

The spelling of 527712817 in words is "five hundred twenty-seven million, seven hundred twelve thousand, eight hundred seventeen".