52620516 has 135 divisors (see below), whose sum is σ = 153915993. Its totient is φ = 15668640.

The previous prime is 52620509. The next prime is 52620521. The reversal of 52620516 is 61502625.

The square root of 52620516 is 7254.

It is a perfect power (a square), and thus also a powerful number.

52620516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7784100 + 44836416 = 2790^2 + 6696^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 52620516.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1697421 + ... + 1697451.

Almost surely, 2^52620516 is an apocalyptic number.

52620516 is the 7254-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52620516

52620516 is an abundant number, since it is smaller than the sum of its proper divisors (101295477).

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

52620516 is a wasteful number, since it uses less digits than its factorization.

52620516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The cubic root of 52620516 is about 374.7299175279.

Multiplying 52620516 by its product of nonzero digits (3600), we get a square (189433857600 = 435240²).

The spelling of 52620516 in words is "fifty-two million, six hundred twenty thousand, five hundred sixteen".