513084893 has 2 divisors, whose sum is σ = 513084894. Its totient is φ = 513084892.

The previous prime is 513084881. The next prime is 513084917. The reversal of 513084893 is 398480315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 511347769 + 1737124 = 22613^2 + 1318^2 .

It is a cyclic number.

It is not a de Polignac number, because 513084893 - 2⁴ = 513084877 is a prime.

It is a super-2 number, since 2×513084893² = 526512214849642898, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 513084893.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513081893) 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, 256542446 + 256542447.

It is an arithmetic number, because the mean of its divisors is an integer number (256542447).

Almost surely, 2^513084893 is an apocalyptic number.

It is an amenable number.

513084893 is a deficient number, since it is larger than the sum of its proper divisors (1).

513084893 is an equidigital number, since it uses as much as digits as its factorization.

513084893 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 513084893 is about 22651.3772870437. The cubic root of 513084893 is about 800.5646498070.

The spelling of 513084893 in words is "five hundred thirteen million, eighty-four thousand, eight hundred ninety-three".