527617361 has 2 divisors, whose sum is σ = 527617362. Its totient is φ = 527617360.

The previous prime is 527617333. The next prime is 527617381. The reversal of 527617361 is 163716725.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 273406225 + 254211136 = 16535^2 + 15944^2 .

It is a cyclic number.

It is not a de Polignac number, because 527617361 - 2⁶ = 527617297 is a prime.

It is a super-4 number, since 4×527617361⁴ (a number of 36 digits) contains 4444 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (527617301) 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, 263808680 + 263808681.

It is an arithmetic number, because the mean of its divisors is an integer number (263808681).

Almost surely, 2^527617361 is an apocalyptic number.

It is an amenable number.

527617361 is a deficient number, since it is larger than the sum of its proper divisors (1).

527617361 is an equidigital number, since it uses as much as digits as its factorization.

527617361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52920, while the sum is 38.

The square root of 527617361 is about 22969.9229646074. The cubic root of 527617361 is about 808.0527124917.

The spelling of 527617361 in words is "five hundred twenty-seven million, six hundred seventeen thousand, three hundred sixty-one".