52509840 has 80 divisors (see below), whose sum is σ = 163519296. Its totient is φ = 13939200.

The previous prime is 52509839. The next prime is 52509841. The reversal of 52509840 is 4890525.

It is an interprime number because it is at equal distance from previous prime (52509839) and next prime (52509841).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (52509841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79110 + ... + 79770.

Almost surely, 2^52509840 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 52509840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81759648).

52509840 is an abundant number, since it is smaller than the sum of its proper divisors (111009456).

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

52509840 is a wasteful number, since it uses less digits than its factorization.

52509840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 52509840 is about 7246.3673657909. The cubic root of 52509840 is about 374.4670117104.

The spelling of 52509840 in words is "fifty-two million, five hundred nine thousand, eight hundred forty".