51829348825 has 48 divisors (see below), whose sum is σ = 70503724080. Its totient is φ = 37620817920.

The previous prime is 51829348763. The next prime is 51829348829. The reversal of 51829348825 is 52884392815.

It can be written as a sum of positive squares in 24 ways, for example, as 26392926681 + 25436422144 = 162459^2 + 159488^2 .

It is a de Polignac number, because none of the positive numbers 2^k-51829348825 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51829348829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9031357 + ... + 9037093.

It is an arithmetic number, because the mean of its divisors is an integer number (1468827585).

Almost surely, 2^51829348825 is an apocalyptic number.

It is an amenable number.

51829348825 is a deficient number, since it is larger than the sum of its proper divisors (18674375255).

51829348825 is a wasteful number, since it uses less digits than its factorization.

51829348825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6526 (or 6521 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 55.

The spelling of 51829348825 in words is "fifty-one billion, eight hundred twenty-nine million, three hundred forty-eight thousand, eight hundred twenty-five".