52606528 has 56 divisors (see below), whose sum is σ = 114638328. Its totient is φ = 23801856.

The previous prime is 52606513. The next prime is 52606537. The reversal of 52606528 is 82560625.

It can be written as a sum of positive squares in 4 ways, for example, as 5161984 + 47444544 = 2272^2 + 6888^2 .

It is a junction number, because it is equal to n+sod(n) for n = 52606493 and 52606502.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43500 + ... + 44692.

It is an arithmetic number, because the mean of its divisors is an integer number (2047113).

Almost surely, 2^52606528 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 52606528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57319164).

52606528 is an abundant number, since it is smaller than the sum of its proper divisors (62031800).

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

52606528 is a wasteful number, since it uses less digits than its factorization.

52606528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 52606528 is about 7253.0357782104. The cubic root of 52606528 is about 374.6967100326.

It can be divided in two parts, 52 and 606528, that multiplied together give a square (31539456 = 5616²).

The spelling of 52606528 in words is "fifty-two million, six hundred six thousand, five hundred twenty-eight".