53005830 has 96 divisors (see below), whose sum is σ = 140997024. Its totient is φ = 12699648.

The previous prime is 53005829. The next prime is 53005837. The reversal of 53005830 is 3850035.

53005830 is a modest number, since divided by 5830 gives 5300 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 53005830.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53005837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1000084 + ... + 1000136.

It is an arithmetic number, because the mean of its divisors is an integer number (1468719).

Almost surely, 2^53005830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53005830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70498512).

53005830 is an abundant number, since it is smaller than the sum of its proper divisors (87991194).

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

53005830 is a wasteful number, since it uses less digits than its factorization.

53005830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 53005830 is about 7280.5102843139. The cubic root of 53005830 is about 375.6423479649.

Adding to 53005830 its reverse (3850035), we get a palindrome (56855865).

It can be divided in two parts, 53005 and 830, that added together give a palindrome (53835).

The spelling of 53005830 in words is "fifty-three million, five thousand, eight hundred thirty".