51585133747250 has 32 divisors (see below), whose sum is σ = 96580732088880. Its totient is φ = 20631198432000.

The previous prime is 51585133747243. The next prime is 51585133747351. The reversal of 51585133747250 is 5274733158515.

It is a happy number.

51585133747250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 29205885637009 + 22379248110241 = 5404247^2 + 4730671^2 .

It is a super-2 number, since 2×51585133747250² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12464471 + ... + 16078970.

Almost surely, 2^{51585133747250} is an apocalyptic number.

51585133747250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51585133747250 is a deficient number, since it is larger than the sum of its proper divisors (44995598341630).

51585133747250 is a wasteful number, since it uses less digits than its factorization.

51585133747250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28550687 (or 28550677 counting only the distinct ones).

The product of its (nonzero) digits is 17640000, while the sum is 56.

The spelling of 51585133747250 in words is "fifty-one trillion, five hundred eighty-five billion, one hundred thirty-three million, seven hundred forty-seven thousand, two hundred fifty".