513430402311405 has 24 divisors (see below), whose sum is σ = 889946818651800. Its totient is φ = 273829305444480.

The previous prime is 513430402311397. The next prime is 513430402311457. The reversal of 513430402311405 is 504113204034315.

513430402311405 is a `hidden beast` number, since 5 + 1 + 34 + 304 + 0 + 2 + 311 + 4 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24489018055044 + 488941384256361 = 4948638^2 + 22112019^2 .

It is not a de Polignac number, because 513430402311405 - 2³ = 513430402311397 is a prime.

It is a super-2 number, since 2×513430402311405² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 513430402311405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53896335 + ... + 62703075.

It is an arithmetic number, because the mean of its divisors is an integer number (37081117443825).

Almost surely, 2^{513430402311405} is an apocalyptic number.

It is an amenable number.

513430402311405 is a deficient number, since it is larger than the sum of its proper divisors (376516416340395).

513430402311405 is a wasteful number, since it uses less digits than its factorization.

513430402311405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10102301 (or 10102298 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 513430402311405 in words is "five hundred thirteen trillion, four hundred thirty billion, four hundred two million, three hundred eleven thousand, four hundred five".