52577260 has 48 divisors (see below), whose sum is σ = 118933920. Its totient is φ = 19450880.

The previous prime is 52577257. The next prime is 52577269. The reversal of 52577260 is 6277525.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (52577269) 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, 18750 + ... + 21370.

It is an arithmetic number, because the mean of its divisors is an integer number (2477790).

It is the magic constant of a 472 × 472 magic square.

Almost surely, 2^52577260 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 52577260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59466960).

52577260 is an abundant number, since it is smaller than the sum of its proper divisors (66356660).

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

52577260 is a wasteful number, since it uses less digits than its factorization.

52577260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 34.

The square root of 52577260 is about 7251.0178595836. The cubic root of 52577260 is about 374.6272087866.

The spelling of 52577260 in words is "fifty-two million, five hundred seventy-seven thousand, two hundred sixty".