5206003416405 has 48 divisors (see below), whose sum is σ = 9851646954240. Its totient is φ = 2522182416000.

The previous prime is 5206003416379. The next prime is 5206003416433. The reversal of 5206003416405 is 5046143006025.

5206003416405 is a `hidden beast` number, since 5 + 2 + 0 + 6 + 0 + 0 + 3 + 4 + 1 + 640 + 5 = 666.

It is not a de Polignac number, because 5206003416405 - 2⁵ = 5206003416373 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5206003416405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3397965 + ... + 4685954.

It is an arithmetic number, because the mean of its divisors is an integer number (205242644880).

Almost surely, 2^{5206003416405} is an apocalyptic number.

5206003416405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5206003416405 is a deficient number, since it is larger than the sum of its proper divisors (4645643537835).

5206003416405 is a wasteful number, since it uses less digits than its factorization.

5206003416405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8085242 (or 8085239 counting only the distinct ones).

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

The spelling of 5206003416405 in words is "five trillion, two hundred six billion, three million, four hundred sixteen thousand, four hundred five".