513525420321 has 8 divisors (see below), whose sum is σ = 685516655040. Its totient is φ = 341942232912.

The previous prime is 513525420307. The next prime is 513525420323. The reversal of 513525420321 is 123024525315.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 513525420321 - 2⁶ = 513525420257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513525420323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102008890 + ... + 102013923.

It is an arithmetic number, because the mean of its divisors is an integer number (85689581880).

Almost surely, 2^513525420321 is an apocalyptic number.

It is an amenable number.

513525420321 is a deficient number, since it is larger than the sum of its proper divisors (171991234719).

513525420321 is a wasteful number, since it uses less digits than its factorization.

513525420321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204023655.

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 513525420321 its reverse (123024525315), we get a palindrome (636549945636).

The spelling of 513525420321 in words is "five hundred thirteen billion, five hundred twenty-five million, four hundred twenty thousand, three hundred twenty-one".