506460271325750 has 256 divisors, whose sum is σ = 1102171405031424. Its totient is φ = 170669125440000.

The previous prime is 506460271325747. The next prime is 506460271325759. The reversal of 506460271325750 is 57523172064605.

It is a super-2 number, since 2×506460271325750² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 506460271325692 and 506460271325701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506460271325759) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116240592572 + ... + 116240596928.

It is an arithmetic number, because the mean of its divisors is an integer number (4305357050904).

Almost surely, 2^{506460271325750} is an apocalyptic number.

506460271325750 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

506460271325750 is an abundant number, since it is smaller than the sum of its proper divisors (595711133705674).

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

506460271325750 is a wasteful number, since it uses less digits than its factorization.

506460271325750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6440 (or 6430 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 53.

The spelling of 506460271325750 in words is "five hundred six trillion, four hundred sixty billion, two hundred seventy-one million, three hundred twenty-five thousand, seven hundred fifty".