513520321 has 2 divisors, whose sum is σ = 513520322. Its totient is φ = 513520320.

The previous prime is 513520307. The next prime is 513520327. The reversal of 513520321 is 123025315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 396447921 + 117072400 = 19911^2 + 10820^2 .

It is a cyclic number.

It is not a de Polignac number, because 513520321 - 2⁵ = 513520289 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 513520292 and 513520301.

It is not a weakly prime, because it can be changed into another prime (513520327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256760160 + 256760161.

It is an arithmetic number, because the mean of its divisors is an integer number (256760161).

Almost surely, 2^513520321 is an apocalyptic number.

It is an amenable number.

513520321 is a deficient number, since it is larger than the sum of its proper divisors (1).

513520321 is an equidigital number, since it uses as much as digits as its factorization.

513520321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 513520321 is about 22660.9867613924. The cubic root of 513520321 is about 800.7910513935.

Adding to 513520321 its reverse (123025315), we get a palindrome (636545636).

The spelling of 513520321 in words is "five hundred thirteen million, five hundred twenty thousand, three hundred twenty-one".