506412046721 has 12 divisors (see below), whose sum is σ = 589335430788. Its totient is φ = 433887777792.

The previous prime is 506412046687. The next prime is 506412046729. The reversal of 506412046721 is 127640214605.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 330441025600 + 175971021121 = 574840^2 + 419489^2 .

It is a de Polignac number, because none of the positive numbers 2^k-506412046721 is a prime.

It is a super-2 number, since 2×506412046721² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506412046729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2019536 + ... + 2256401.

It is an arithmetic number, because the mean of its divisors is an integer number (49111285899).

Almost surely, 2^506412046721 is an apocalyptic number.

It is an amenable number.

506412046721 is a deficient number, since it is larger than the sum of its proper divisors (82923384067).

506412046721 is a wasteful number, since it uses less digits than its factorization.

506412046721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278368 (or 4278361 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 506412046721 in words is "five hundred six billion, four hundred twelve million, forty-six thousand, seven hundred twenty-one".