506005575075537 has 32 divisors (see below), whose sum is σ = 702993395402880. Its totient is φ = 323349490114560.

The previous prime is 506005575075529. The next prime is 506005575075571. The reversal of 506005575075537 is 735570575500605.

It is not a de Polignac number, because 506005575075537 - 2³ = 506005575075529 is a prime.

It is a super-2 number, since 2×506005575075537² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (506005575070537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316039 + ... + 31813692.

It is an arithmetic number, because the mean of its divisors is an integer number (21968543606340).

Almost surely, 2^{506005575075537} is an apocalyptic number.

It is an amenable number.

506005575075537 is a deficient number, since it is larger than the sum of its proper divisors (196987820327343).

506005575075537 is a wasteful number, since it uses less digits than its factorization.

506005575075537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32131073.

The product of its (nonzero) digits is 96468750, while the sum is 60.

The spelling of 506005575075537 in words is "five hundred six trillion, five billion, five hundred seventy-five million, seventy-five thousand, five hundred thirty-seven".