513563261 has 2 divisors, whose sum is σ = 513563262. Its totient is φ = 513563260.

The previous prime is 513563227. The next prime is 513563311. The reversal of 513563261 is 162365315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 487040761 + 26522500 = 22069^2 + 5150^2 .

It is a cyclic number.

It is not a de Polignac number, because 513563261 - 2¹⁰ = 513562237 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513563221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256781630 + 256781631.

It is an arithmetic number, because the mean of its divisors is an integer number (256781631).

Almost surely, 2^513563261 is an apocalyptic number.

It is an amenable number.

513563261 is a deficient number, since it is larger than the sum of its proper divisors (1).

513563261 is an equidigital number, since it uses as much as digits as its factorization.

513563261 is an evil number, because the sum of its binary digits is even.

The product of its digits is 16200, while the sum is 32.

The square root of 513563261 is about 22661.9341848837. The cubic root of 513563261 is about 800.8133711914.

The spelling of 513563261 in words is "five hundred thirteen million, five hundred sixty-three thousand, two hundred sixty-one".