506240442135477 has 96 divisors (see below), whose sum is σ = 885303968709888. Its totient is φ = 272126347296768.

The previous prime is 506240442135473. The next prime is 506240442135479. The reversal of 506240442135477 is 774531244042605.

506240442135477 is a `hidden beast` number, since 5 + 0 + 6 + 2 + 40 + 4 + 42 + 13 + 547 + 7 = 666.

It is not a de Polignac number, because 506240442135477 - 2² = 506240442135473 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506240442135473) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29105978893 + ... + 29105996285.

It is an arithmetic number, because the mean of its divisors is an integer number (9221916340728).

Almost surely, 2^{506240442135477} is an apocalyptic number.

It is an amenable number.

506240442135477 is a deficient number, since it is larger than the sum of its proper divisors (379063526574411).

506240442135477 is a wasteful number, since it uses less digits than its factorization.

506240442135477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29579 (or 29576 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 54.

The spelling of 506240442135477 in words is "five hundred six trillion, two hundred forty billion, four hundred forty-two million, one hundred thirty-five thousand, four hundred seventy-seven".