52819536 has 160 divisors (see below), whose sum is σ = 175988736. Its totient is φ = 13248000.

The previous prime is 52819531. The next prime is 52819541. The reversal of 52819536 is 63591825.

52819536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52819531) and next prime (52819541).

It is a junction number, because it is equal to n+sod(n) for n = 52819494 and 52819503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52819531) 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 31 ways as a sum of consecutive naturals, for example, 114346 + ... + 114806.

Almost surely, 2^52819536 is an apocalyptic number.

52819536 is a gapful number since it is divisible by the number (56) 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 52819536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87994368).

52819536 is an abundant number, since it is smaller than the sum of its proper divisors (123169200).

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

52819536 is a wasteful number, since it uses less digits than its factorization.

52819536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 515 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 52819536 is about 7267.7050022686. The cubic root of 52819536 is about 375.2017545453.

The spelling of 52819536 in words is "fifty-two million, eight hundred nineteen thousand, five hundred thirty-six".