506540072142 has 24 divisors (see below), whose sum is σ = 1181926835544. Its totient is φ = 155858483664.

The previous prime is 506540072119. The next prime is 506540072147. The reversal of 506540072142 is 241270045605.

It is a happy number.

506540072142 is a `hidden beast` number, since 5 + 0 + 6 + 540 + 0 + 72 + 1 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 506540072097 and 506540072106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506540072147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1082350348 + ... + 1082350815.

It is an arithmetic number, because the mean of its divisors is an integer number (49246951481).

Almost surely, 2^506540072142 is an apocalyptic number.

506540072142 is an abundant number, since it is smaller than the sum of its proper divisors (675386763402).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506540072142 is a wasteful number, since it uses less digits than its factorization.

506540072142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164701184 (or 2164701181 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 506540072142 in words is "five hundred six billion, five hundred forty million, seventy-two thousand, one hundred forty-two".