52059040 has 72 divisors (see below), whose sum is σ = 135237060. Its totient is φ = 18923520.

The previous prime is 52059017. The next prime is 52059043. The reversal of 52059040 is 4095025.

It can be written as a sum of positive squares in 2 ways, for example, as 45319824 + 6739216 = 6732^2 + 2596^2 .

It is a junction number, because it is equal to n+sod(n) for n = 52058996 and 52059014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52059043) 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, 18016 + ... + 20704.

Almost surely, 2^52059040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52059040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67618530).

52059040 is an abundant number, since it is smaller than the sum of its proper divisors (83178020).

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

52059040 is a wasteful number, since it uses less digits than its factorization.

52059040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 52059040 is about 7215.1950770579. The cubic root of 52059040 is about 373.3923234450.

The spelling of 52059040 in words is "fifty-two million, fifty-nine thousand, forty".