564190000901 has 2 divisors, whose sum is σ = 564190000902. Its totient is φ = 564190000900.

The previous prime is 564190000883. The next prime is 564190000903. The reversal of 564190000901 is 109000091465.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 563101660801 + 1088340100 = 750401^2 + 32990^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-564190000901 is a prime.

Together with 564190000903, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (564190000903) 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, 282095000450 + 282095000451.

It is an arithmetic number, because the mean of its divisors is an integer number (282095000451).

Almost surely, 2^564190000901 is an apocalyptic number.

It is an amenable number.

564190000901 is a deficient number, since it is larger than the sum of its proper divisors (1).

564190000901 is an equidigital number, since it uses as much as digits as its factorization.

564190000901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 35.

The spelling of 564190000901 in words is "five hundred sixty-four billion, one hundred ninety million, nine hundred one", and thus it is an aban number.