506333677135413 has 128 divisors (see below), whose sum is σ = 720732110192640. Its totient is φ = 315744998400000.

The previous prime is 506333677135399. The next prime is 506333677135427. The reversal of 506333677135413 is 314531776333605.

It is an interprime number because it is at equal distance from previous prime (506333677135399) and next prime (506333677135427).

It is not a de Polignac number, because 506333677135413 - 2¹³ = 506333677127221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506333677135483) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93644102556 + ... + 93644107962.

It is an arithmetic number, because the mean of its divisors is an integer number (5630719610880).

Almost surely, 2^{506333677135413} is an apocalyptic number.

It is an amenable number.

506333677135413 is a deficient number, since it is larger than the sum of its proper divisors (214398433057227).

506333677135413 is a wasteful number, since it uses less digits than its factorization.

506333677135413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7019.

The product of its (nonzero) digits is 42865200, while the sum is 57.

The spelling of 506333677135413 in words is "five hundred six trillion, three hundred thirty-three billion, six hundred seventy-seven million, one hundred thirty-five thousand, four hundred thirteen".