5205537 has 12 divisors (see below), whose sum is σ = 7694544. Its totient is φ = 3389400.

The previous prime is 5205527. The next prime is 5205539. The reversal of 5205537 is 7355025.

5205537 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5205537 - 2¹⁴ = 5189153 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5205537.

It is not an unprimeable number, because it can be changed into a prime (5205539) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6339 + ... + 7112.

It is an arithmetic number, because the mean of its divisors is an integer number (641212).

Almost surely, 2^5205537 is an apocalyptic number.

It is an amenable number.

5205537 is a deficient number, since it is larger than the sum of its proper divisors (2489007).

5205537 is a wasteful number, since it uses less digits than its factorization.

5205537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13500 (or 13497 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 5205537 is about 2281.5645947463. The cubic root of 5205537 is about 173.3092911263.

The spelling of 5205537 in words is "five million, two hundred five thousand, five hundred thirty-seven".