506904128783 has 8 divisors (see below), whose sum is σ = 545907488448. Its totient is φ = 467902302624.

The previous prime is 506904128771. The next prime is 506904128813. The reversal of 506904128783 is 387821409605.

It is a Cunningham number, because it is equal to 711972²-1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 506904128783 - 2⁴ = 506904128767 is a prime.

It is a super-2 number, since 2×506904128783² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506904128083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 355985 + ... + 1067957.

It is an arithmetic number, because the mean of its divisors is an integer number (68238436056).

It is a 1-persistent number, because it is pandigital, but 2⋅506904128783 = 1013808257566 is not.

Almost surely, 2^506904128783 is an apocalyptic number.

506904128783 is a deficient number, since it is larger than the sum of its proper divisors (39003359665).

506904128783 is a wasteful number, since it uses less digits than its factorization.

506904128783 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766753.

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 506904128783 in words is "five hundred six billion, nine hundred four million, one hundred twenty-eight thousand, seven hundred eighty-three".