51585246126 has 48 divisors (see below), whose sum is σ = 117923869440. Its totient is φ = 16252235280.

The previous prime is 51585246113. The next prime is 51585246133. The reversal of 51585246126 is 62164258515.

51585246126 is a `hidden beast` number, since 5 + 1 + 5 + 8 + 5 + 24 + 612 + 6 = 666.

It is a super-2 number, since 2×51585246126² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27580 + ... + 322383.

It is an arithmetic number, because the mean of its divisors is an integer number (2456747280).

Almost surely, 2^51585246126 is an apocalyptic number.

51585246126 is an abundant number, since it is smaller than the sum of its proper divisors (66338623314).

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

51585246126 is a wasteful number, since it uses less digits than its factorization.

51585246126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350421 (or 350418 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The spelling of 51585246126 in words is "fifty-one billion, five hundred eighty-five million, two hundred forty-six thousand, one hundred twenty-six".