513141315 has 16 divisors (see below), whose sum is σ = 822244608. Its totient is φ = 273269216.

The previous prime is 513141289. The next prime is 513141319.

513141315 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 513141315 - 2¹¹ = 513139267 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513141319) 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, 14799 + ... + 35288.

It is an arithmetic number, because the mean of its divisors is an integer number (51390288).

Almost surely, 2^513141315 is an apocalyptic number.

513141315 is a deficient number, since it is larger than the sum of its proper divisors (309103293).

513141315 is a wasteful number, since it uses less digits than its factorization.

513141315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50778.

The product of its digits is 900, while the sum is 24.

The square root of 513141315 is about 22652.6226958381. The cubic root of 513141315 is about 800.5939937510.

The spelling of 513141315 in words is "five hundred thirteen million, one hundred forty-one thousand, three hundred fifteen".