506333673135413 has 8 divisors (see below), whose sum is σ = 506371764389400. Its totient is φ = 506295583326720.

The previous prime is 506333673135401. The next prime is 506333673135439. The reversal of 506333673135413 is 314531376333605.

It can be written as a sum of positive squares in 4 ways, for example, as 175366507730404 + 330967165405009 = 13242602^2 + 18192503^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 506333673135413 - 2¹⁶ = 506333673069877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506333673135013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 759187313 + ... + 759853961.

It is an arithmetic number, because the mean of its divisors is an integer number (63296470548675).

Almost surely, 2^{506333673135413} is an apocalyptic number.

It is an amenable number.

506333673135413 is a deficient number, since it is larger than the sum of its proper divisors (38091253987).

506333673135413 is a wasteful number, since it uses less digits than its factorization.

506333673135413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722647.

The product of its (nonzero) digits is 18370800, while the sum is 53.

The spelling of 506333673135413 in words is "five hundred six trillion, three hundred thirty-three billion, six hundred seventy-three million, one hundred thirty-five thousand, four hundred thirteen".