513788081 has 2 divisors, whose sum is σ = 513788082. Its totient is φ = 513788080.

The previous prime is 513788071. The next prime is 513788129. The reversal of 513788081 is 180887315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 513475600 + 312481 = 22660^2 + 559^2 .

It is a cyclic number.

It is not a de Polignac number, because 513788081 - 2¹⁸ = 513525937 is a prime.

It is a super-2 number, since 2×513788081² = 527956384355325122, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (513788071) 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, 256894040 + 256894041.

It is an arithmetic number, because the mean of its divisors is an integer number (256894041).

Almost surely, 2^513788081 is an apocalyptic number.

It is an amenable number.

513788081 is a deficient number, since it is larger than the sum of its proper divisors (1).

513788081 is an equidigital number, since it uses as much as digits as its factorization.

513788081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 53760, while the sum is 41.

The square root of 513788081 is about 22666.8939424880. The cubic root of 513788081 is about 800.9302101546.

The spelling of 513788081 in words is "five hundred thirteen million, seven hundred eighty-eight thousand, eighty-one".