527505361 has 2 divisors, whose sum is σ = 527505362. Its totient is φ = 527505360.

The previous prime is 527505323. The next prime is 527505367. The reversal of 527505361 is 163505725.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 492174225 + 35331136 = 22185^2 + 5944^2 .

It is a cyclic number.

It is not a de Polignac number, because 527505361 - 2⁷ = 527505233 is a prime.

It is equal to p_27726415 and since 527505361 and 27726415 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (527505367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 263752680 + 263752681.

It is an arithmetic number, because the mean of its divisors is an integer number (263752681).

Almost surely, 2^527505361 is an apocalyptic number.

It is an amenable number.

527505361 is a deficient number, since it is larger than the sum of its proper divisors (1).

527505361 is an equidigital number, since it uses as much as digits as its factorization.

527505361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31500, while the sum is 34.

The square root of 527505361 is about 22967.4848644774. The cubic root of 527505361 is about 807.9955319697.

The spelling of 527505361 in words is "five hundred twenty-seven million, five hundred five thousand, three hundred sixty-one".