506051100540 has 36 divisors (see below), whose sum is σ = 1535021672184. Its totient is φ = 134946960096.

The previous prime is 506051100437. The next prime is 506051100547. The reversal of 506051100540 is 45001150605.

It is a happy number.

506051100540 is a `hidden beast` number, since 5 + 0 + 6 + 0 + 5 + 110 + 0 + 540 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506051100547) 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 11 ways as a sum of consecutive naturals, for example, 1405697322 + ... + 1405697681.

It is an arithmetic number, because the mean of its divisors is an integer number (42639490894).

Almost surely, 2^506051100540 is an apocalyptic number.

It is an amenable number.

506051100540 is an abundant number, since it is smaller than the sum of its proper divisors (1028970571644).

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

506051100540 is a wasteful number, since it uses less digits than its factorization.

506051100540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811395018 (or 2811395013 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 506051100540 in words is "five hundred six billion, fifty-one million, one hundred thousand, five hundred forty".