513200021 has 2 divisors, whose sum is σ = 513200022. Its totient is φ = 513200020.

The previous prime is 513199991. The next prime is 513200041. The reversal of 513200021 is 120002315.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 474586225 + 38613796 = 21785^2 + 6214^2 .

It is a cyclic number.

It is not a de Polignac number, because 513200021 - 2¹⁰ = 513198997 is a prime.

It is a super-3 number, since 3×513200021³ (a number of 27 digits) contains 333 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 513199969 and 513200005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513200041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256600010 + 256600011.

It is an arithmetic number, because the mean of its divisors is an integer number (256600011).

Almost surely, 2^513200021 is an apocalyptic number.

It is an amenable number.

513200021 is a deficient number, since it is larger than the sum of its proper divisors (1).

513200021 is an equidigital number, since it uses as much as digits as its factorization.

513200021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 513200021 is about 22653.9184469266. The cubic root of 513200021 is about 800.6245232740.

Adding to 513200021 its reverse (120002315), we get a palindrome (633202336).

The spelling of 513200021 in words is "five hundred thirteen million, two hundred thousand, twenty-one".