513305141327 has 16 divisors (see below), whose sum is σ = 563403762432. Its totient is φ = 463779750720.

The previous prime is 513305141291. The next prime is 513305141329. The reversal of 513305141327 is 723141503315.

It is not a de Polignac number, because 513305141327 - 2⁶ = 513305141263 is a prime.

It is a super-2 number, since 2×513305141327² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513305141329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16272923 + ... + 16304435.

It is an arithmetic number, because the mean of its divisors is an integer number (35212735152).

Almost surely, 2^513305141327 is an apocalyptic number.

513305141327 is a deficient number, since it is larger than the sum of its proper divisors (50098621105).

513305141327 is a wasteful number, since it uses less digits than its factorization.

513305141327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40558.

The product of its (nonzero) digits is 37800, while the sum is 35.

The spelling of 513305141327 in words is "five hundred thirteen billion, three hundred five million, one hundred forty-one thousand, three hundred twenty-seven".