513735953 has 2 divisors, whose sum is σ = 513735954. Its totient is φ = 513735952.

The previous prime is 513735941. The next prime is 513735979. The reversal of 513735953 is 359537315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 411968209 + 101767744 = 20297^2 + 10088^2 .

It is a cyclic number.

It is not a de Polignac number, because 513735953 - 2¹⁸ = 513473809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513735953.

It is not a weakly prime, because it can be changed into another prime (513735913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256867976 + 256867977.

It is an arithmetic number, because the mean of its divisors is an integer number (256867977).

Almost surely, 2^513735953 is an apocalyptic number.

It is an amenable number.

513735953 is a deficient number, since it is larger than the sum of its proper divisors (1).

513735953 is an equidigital number, since it uses as much as digits as its factorization.

513735953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 212625, while the sum is 41.

The square root of 513735953 is about 22665.7440424973. The cubic root of 513735953 is about 800.9031222666.

The spelling of 513735953 in words is "five hundred thirteen million, seven hundred thirty-five thousand, nine hundred fifty-three".