52561259520 has 704 divisors, whose sum is σ = 220722278400. Its totient is φ = 10342563840.

The previous prime is 52561259507. The next prime is 52561259561. The reversal of 52561259520 is 2595216525.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22470511 + ... + 22472849.

Almost surely, 2^52561259520 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 52561259520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110361139200).

52561259520 is an abundant number, since it is smaller than the sum of its proper divisors (168161018880).

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

52561259520 is a wasteful number, since it uses less digits than its factorization.

52561259520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 42.

The spelling of 52561259520 in words is "fifty-two billion, five hundred sixty-one million, two hundred fifty-nine thousand, five hundred twenty".