513327544165023 has 32 divisors (see below), whose sum is σ = 798965219819520. Its totient is φ = 287049795869280.

The previous prime is 513327544165021. The next prime is 513327544165049. The reversal of 513327544165023 is 320561445723315.

It is not a de Polignac number, because 513327544165023 - 2¹ = 513327544165021 is a prime.

It is a super-2 number, since 2×513327544165023² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513327544165021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28236183 + ... + 42707576.

It is an arithmetic number, because the mean of its divisors is an integer number (24967663119360).

Almost surely, 2^{513327544165023} is an apocalyptic number.

513327544165023 is a deficient number, since it is larger than the sum of its proper divisors (285637675654497).

513327544165023 is a wasteful number, since it uses less digits than its factorization.

513327544165023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70951147.

The product of its (nonzero) digits is 9072000, while the sum is 51.

Adding to 513327544165023 its reverse (320561445723315), we get a palindrome (833888989888338).

The spelling of 513327544165023 in words is "five hundred thirteen trillion, three hundred twenty-seven billion, five hundred forty-four million, one hundred sixty-five thousand, twenty-three".