513111242111315 has 16 divisors (see below), whose sum is σ = 616563885729792. Its totient is φ = 409935426816384.

The previous prime is 513111242111239. The next prime is 513111242111317.

It is a happy number.

513111242111315 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 513111242111315 - 2⁴⁶ = 442742497933651 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513111242111317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136705877 + ... + 140409113.

It is an arithmetic number, because the mean of its divisors is an integer number (38535242858112).

Almost surely, 2^{513111242111315} is an apocalyptic number.

513111242111315 is a deficient number, since it is larger than the sum of its proper divisors (103452643618477).

513111242111315 is a wasteful number, since it uses less digits than its factorization.

513111242111315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3740606.

The product of its digits is 3600, while the sum is 32.

The spelling of 513111242111315 in words is "five hundred thirteen trillion, one hundred eleven billion, two hundred forty-two million, one hundred eleven thousand, three hundred fifteen".