513571456321 has 81 divisors (see below), whose sum is σ = 676053194691. Its totient is φ = 388704993600.

The previous prime is 513571456249. The next prime is 513571456351. The reversal of 513571456321 is 123654175315.

The square root of 513571456321 is 716639.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 24746750721 + 488824705600 = 157311^2 + 699160^2 .

It is not a de Polignac number, because 513571456321 - 2¹⁹ = 513570932033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513571456351) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2262429210 + ... + 2262429436.

Almost surely, 2^513571456321 is an apocalyptic number.

513571456321 is the 716639-th square number.

513571456321 is the 358320-th centered octagonal number.

It is an amenable number.

513571456321 is a deficient number, since it is larger than the sum of its proper divisors (162481738370).

513571456321 is an equidigital number, since it uses as much as digits as its factorization.

513571456321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 286 counting only the distinct ones).

The product of its digits is 378000, while the sum is 43.

The spelling of 513571456321 in words is "five hundred thirteen billion, five hundred seventy-one million, four hundred fifty-six thousand, three hundred twenty-one".