51407829 has 48 divisors (see below), whose sum is σ = 85722624. Its totient is φ = 29383200.

The previous prime is 51407819. The next prime is 51407843. The reversal of 51407829 is 92870415.

51407829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 51407829 - 2²⁵ = 17853397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 51407793 and 51407802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51407819) 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 47 ways as a sum of consecutive naturals, for example, 243534 + ... + 243744.

It is an arithmetic number, because the mean of its divisors is an integer number (1785888).

Almost surely, 2^51407829 is an apocalyptic number.

It is an amenable number.

51407829 is a deficient number, since it is larger than the sum of its proper divisors (34314795).

51407829 is a wasteful number, since it uses less digits than its factorization.

51407829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 51407829 is about 7169.9253134185. The cubic root of 51407829 is about 371.8288538083.

The spelling of 51407829 in words is "fifty-one million, four hundred seven thousand, eight hundred twenty-nine".