752561 has 4 divisors (see below), whose sum is σ = 761712. Its totient is φ = 743412.

The previous prime is 752527. The next prime is 752569. The reversal of 752561 is 165257.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 165257 = 17 ⋅9721.

It is a cyclic number.

It is not a de Polignac number, because 752561 - 2¹⁸ = 490417 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 752561.

It is not an unprimeable number, because it can be changed into a prime (752569) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4451 + ... + 4616.

It is an arithmetic number, because the mean of its divisors is an integer number (190428).

2⁷⁵²⁵⁶¹ is an apocalyptic number.

It is an amenable number.

752561 is a deficient number, since it is larger than the sum of its proper divisors (9151).

752561 is an equidigital number, since it uses as much as digits as its factorization.

752561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9150.

The product of its digits is 2100, while the sum is 26.

The square root of 752561 is about 867.5027377478. The cubic root of 752561 is about 90.9593265078.

It can be divided in two parts, 75256 and 1, that added together give a palindrome (75257).

The spelling of 752561 in words is "seven hundred fifty-two thousand, five hundred sixty-one".