506009122751 has 16 divisors (see below), whose sum is σ = 562558064640. Its totient is φ = 451292381280.

The previous prime is 506009122733. The next prime is 506009122783. The reversal of 506009122751 is 157221900605.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 506009122751 - 2¹⁰ = 506009121727 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506009125751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1717991 + ... + 1990856.

It is an arithmetic number, because the mean of its divisors is an integer number (35159879040).

Almost surely, 2^506009122751 is an apocalyptic number.

506009122751 is a deficient number, since it is larger than the sum of its proper divisors (56548941889).

506009122751 is a wasteful number, since it uses less digits than its factorization.

506009122751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709094.

The product of its (nonzero) digits is 37800, while the sum is 38.

The spelling of 506009122751 in words is "five hundred six billion, nine million, one hundred twenty-two thousand, seven hundred fifty-one".