521827993 has 2 divisors, whose sum is σ = 521827994. Its totient is φ = 521827992.

The previous prime is 521827961. The next prime is 521827997. The reversal of 521827993 is 399728125.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 514926864 + 6901129 = 22692^2 + 2627^2 .

It is a cyclic number.

It is not a de Polignac number, because 521827993 - 2⁵ = 521827961 is a prime.

It is not a weakly prime, because it can be changed into another prime (521827997) 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, 260913996 + 260913997.

It is an arithmetic number, because the mean of its divisors is an integer number (260913997).

Almost surely, 2^521827993 is an apocalyptic number.

It is an amenable number.

521827993 is a deficient number, since it is larger than the sum of its proper divisors (1).

521827993 is an equidigital number, since it uses as much as digits as its factorization.

521827993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 272160, while the sum is 46.

The square root of 521827993 is about 22843.5547365116. The cubic root of 521827993 is about 805.0863392600.

The spelling of 521827993 in words is "five hundred twenty-one million, eight hundred twenty-seven thousand, nine hundred ninety-three".