52607520 has 288 divisors, whose sum is σ = 217945728. Its totient is φ = 11280384.

The previous prime is 52607507. The next prime is 52607549. The reversal of 52607520 is 2570625.

52607520 is a `hidden beast` number, since 5 + 2 + 607 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171207 + ... + 171513.

It is an arithmetic number, because the mean of its divisors is an integer number (756756).

Almost surely, 2^52607520 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 52607520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108972864).

52607520 is an abundant number, since it is smaller than the sum of its proper divisors (165338208).

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

52607520 is a wasteful number, since it uses less digits than its factorization.

52607520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 52607520 is about 7253.1041630463. The cubic root of 52607520 is about 374.6990652333.

The spelling of 52607520 in words is "fifty-two million, six hundred seven thousand, five hundred twenty".