513213199321 has 3 divisors (see below), whose sum is σ = 513213915711. Its totient is φ = 513212482932.

The previous prime is 513213199313. The next prime is 513213199403. The reversal of 513213199321 is 123991312315.

It is a happy number.

The square root of 513213199321 is 716389.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 450763189321 + 62450010000 = 671389^2 + 249900^2 .

It is not a de Polignac number, because 513213199321 - 2³ = 513213199313 is a prime.

It is a super-2 number, since 2×513213199321² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513213199621) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 358195 + ... + 1074583.

It is an arithmetic number, because the mean of its divisors is an integer number (171071305237).

Almost surely, 2^513213199321 is an apocalyptic number.

513213199321 is the 716389-th square number.

513213199321 is the 358195-th centered octagonal number.

It is an amenable number.

513213199321 is a deficient number, since it is larger than the sum of its proper divisors (716390).

513213199321 is an frugal number, since it uses more digits than its factorization.

513213199321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432778 (or 716389 counting only the distinct ones).

The product of its digits is 43740, while the sum is 40.

The spelling of 513213199321 in words is "five hundred thirteen billion, two hundred thirteen million, one hundred ninety-nine thousand, three hundred twenty-one".