513521212005 has 24 divisors (see below), whose sum is σ = 898745223168. Its totient is φ = 271218967776.

The previous prime is 513521211977. The next prime is 513521212007. The reversal of 513521212005 is 500212125315.

513521212005 is a `hidden beast` number, since 5 + 13 + 521 + 2 + 120 + 0 + 5 = 666.

It is not a de Polignac number, because 513521212005 - 2⁹ = 513521211493 is a prime.

It is a super-2 number, since 2×513521212005² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 513521212005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513521212007) 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 23 ways as a sum of consecutive naturals, for example, 55391397 + ... + 55400666.

It is an arithmetic number, because the mean of its divisors is an integer number (37447717632).

Almost surely, 2^513521212005 is an apocalyptic number.

It is an amenable number.

513521212005 is a deficient number, since it is larger than the sum of its proper divisors (385224011163).

513521212005 is a wasteful number, since it uses less digits than its factorization.

513521212005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110792177 (or 110792174 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 513521212005 in words is "five hundred thirteen billion, five hundred twenty-one million, two hundred twelve thousand, five".