51634381825 has 48 divisors (see below), whose sum is σ = 71985236400. Its totient is φ = 36476697600.

The previous prime is 51634381819. The next prime is 51634381849. The reversal of 51634381825 is 52818343615.

It is a Cunningham number, because it is equal to 227232²+1.

It can be written as a sum of positive squares in 24 ways, for example, as 43996321009 + 7638060816 = 209753^2 + 87396^2 .

It is not a de Polignac number, because 51634381825 - 2⁹ = 51634381313 is a prime.

It is a super-2 number, since 2×51634381825² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1002195 + ... + 1052455.

It is an arithmetic number, because the mean of its divisors is an integer number (1499692425).

Almost surely, 2^51634381825 is an apocalyptic number.

It is an amenable number.

51634381825 is a deficient number, since it is larger than the sum of its proper divisors (20350854575).

51634381825 is a wasteful number, since it uses less digits than its factorization.

51634381825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50422 (or 50417 counting only the distinct ones).

The product of its digits is 691200, while the sum is 46.

The spelling of 51634381825 in words is "fifty-one billion, six hundred thirty-four million, three hundred eighty-one thousand, eight hundred twenty-five".