51529000 has 48 divisors (see below), whose sum is σ = 121111380. Its totient is φ = 20520800.

The previous prime is 51528979. The next prime is 51529001. The reversal of 51529000 is 92515.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 34833604 + 16695396 = 5902^2 + 4086^2 .

It is not an unprimeable number, because it can be changed into a prime (51529001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226887 + ... + 227113.

Almost surely, 2^51529000 is an apocalyptic number.

51529000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51529000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60555690).

51529000 is an abundant number, since it is smaller than the sum of its proper divisors (69582380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51529000 is an equidigital number, since it uses as much as digits as its factorization.

51529000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 51529000 is about 7178.3702885822. The cubic root of 51529000 is about 372.1207647376.

The spelling of 51529000 in words is "fifty-one million, five hundred twenty-nine thousand".