51129829 has 16 divisors (see below), whose sum is σ = 56049840. Its totient is φ = 46448640.

The previous prime is 51129811. The next prime is 51129839. The reversal of 51129829 is 92892115.

51129829 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 748225 + 50381604 = 865^2 + 7098^2 .

It is a cyclic number.

It is not a de Polignac number, because 51129829 - 2²³ = 42741221 is a prime.

It is a super-2 number, since 2×51129829² = 5228518827138482, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51129809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75637 + ... + 76309.

It is an arithmetic number, because the mean of its divisors is an integer number (3503115).

Almost surely, 2^51129829 is an apocalyptic number.

It is an amenable number.

51129829 is a deficient number, since it is larger than the sum of its proper divisors (4920011).

51129829 is a wasteful number, since it uses less digits than its factorization.

51129829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840.

The product of its digits is 12960, while the sum is 37.

The square root of 51129829 is about 7150.5124991150. The cubic root of 51129829 is about 371.1573911477.

It can be divided in two parts, 5112 and 9829, that added together give a palindrome (14941).

The spelling of 51129829 in words is "fifty-one million, one hundred twenty-nine thousand, eight hundred twenty-nine".