513352121 has 2 divisors, whose sum is σ = 513352122. Its totient is φ = 513352120.

The previous prime is 513352079. The next prime is 513352123. The reversal of 513352121 is 121253315.

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., 469328896 + 44023225 = 21664^2 + 6635^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513352121 is a prime.

Together with 513352123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (513352123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256676060 + 256676061.

It is an arithmetic number, because the mean of its divisors is an integer number (256676061).

Almost surely, 2^513352121 is an apocalyptic number.

It is an amenable number.

513352121 is a deficient number, since it is larger than the sum of its proper divisors (1).

513352121 is an equidigital number, since it uses as much as digits as its factorization.

513352121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 900, while the sum is 23.

The square root of 513352121 is about 22657.2752333550. The cubic root of 513352121 is about 800.7036106711.

The spelling of 513352121 in words is "five hundred thirteen million, three hundred fifty-two thousand, one hundred twenty-one".