506101213645431 has 16 divisors (see below), whose sum is σ = 676381669920000. Its totient is φ = 336611238723648.

The previous prime is 506101213645429. The next prime is 506101213645471. The reversal of 506101213645431 is 134546312101605.

It is not a de Polignac number, because 506101213645431 - 2¹ = 506101213645429 is a prime.

It is a super-2 number, since 2×506101213645431² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506101213645421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52489891 + ... + 61379076.

It is an arithmetic number, because the mean of its divisors is an integer number (42273854370000).

Almost surely, 2^{506101213645431} is an apocalyptic number.

506101213645431 is a deficient number, since it is larger than the sum of its proper divisors (170280456274569).

506101213645431 is a wasteful number, since it uses less digits than its factorization.

506101213645431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113872438.

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 506101213645431 in words is "five hundred six trillion, one hundred one billion, two hundred thirteen million, six hundred forty-five thousand, four hundred thirty-one".