5202561 has 64 divisors (see below), whose sum is σ = 9676800. Its totient is φ = 2405376.

The previous prime is 5202559. The next prime is 5202569. The reversal of 5202561 is 1652025.

It is not a de Polignac number, because 5202561 - 2¹ = 5202559 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (5202569) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88150 + ... + 88208.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 2^5202561 is an apocalyptic number.

5202561 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

5202561 is a deficient number, since it is larger than the sum of its proper divisors (4474239).

5202561 is a wasteful number, since it uses less digits than its factorization.

5202561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 5202561 is about 2280.9123174730. The cubic root of 5202561 is about 173.2762579176.

Adding to 5202561 its reverse (1652025), we get a palindrome (6854586).

It can be divided in two parts, 520 and 2561, that added together give a triangular number (3081 = T₇₈).

The spelling of 5202561 in words is "five million, two hundred two thousand, five hundred sixty-one".