513050033 has 2 divisors, whose sum is σ = 513050034. Its totient is φ = 513050032.

The previous prime is 513049949. The next prime is 513050053. The reversal of 513050033 is 330050315.

It is an a-pointer prime, because the next prime (513050053) can be obtained adding 513050033 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 487879744 + 25170289 = 22088^2 + 5017^2 .

It is a cyclic number.

It is not a de Polignac number, because 513050033 - 2²² = 508855729 is a prime.

It is a super-2 number, since 2×513050033² = 526440672722602178, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 513049987 and 513050014.

It is not a weakly prime, because it can be changed into another prime (513050053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256525016 + 256525017.

It is an arithmetic number, because the mean of its divisors is an integer number (256525017).

Almost surely, 2^513050033 is an apocalyptic number.

It is an amenable number.

513050033 is a deficient number, since it is larger than the sum of its proper divisors (1).

513050033 is an equidigital number, since it uses as much as digits as its factorization.

513050033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 675, while the sum is 20.

The square root of 513050033 is about 22650.6077843399. The cubic root of 513050033 is about 800.5465187491.

The spelling of 513050033 in words is "five hundred thirteen million, fifty thousand, thirty-three".