51829332641 has 8 divisors (see below), whose sum is σ = 54924138504. Its totient is φ = 48739640320.

The previous prime is 51829332629. The next prime is 51829332713. The reversal of 51829332641 is 14623392815.

It can be written as a sum of positive squares in 4 ways, for example, as 18885630625 + 32943702016 = 137425^2 + 181504^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-51829332641 is a prime.

It is a super-2 number, since 2×51829332641² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 51829332592 and 51829332601.

It is not an unprimeable number, because it can be changed into a prime (51829332341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1257500 + ... + 1298061.

It is an arithmetic number, because the mean of its divisors is an integer number (6865517313).

Almost surely, 2^51829332641 is an apocalyptic number.

It is an amenable number.

51829332641 is a deficient number, since it is larger than the sum of its proper divisors (3094805863).

51829332641 is a wasteful number, since it uses less digits than its factorization.

51829332641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556771.

The product of its digits is 311040, while the sum is 44.

The spelling of 51829332641 in words is "fifty-one billion, eight hundred twenty-nine million, three hundred thirty-two thousand, six hundred forty-one".