752525 has 12 divisors (see below), whose sum is σ = 964224. Its totient is φ = 582000.

The previous prime is 752519. The next prime is 752527. The reversal of 752525 is 525257.

It is not a de Polignac number, because 752525 - 2¹⁶ = 686989 is a prime.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

752525 is a modest number, since divided by 2525 gives 75 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 752494 and 752503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752527) 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 11 ways as a sum of consecutive naturals, for example, 290 + ... + 1260.

It is an arithmetic number, because the mean of its divisors is an integer number (80352).

2⁷⁵²⁵²⁵ is an apocalyptic number.

It is an amenable number.

752525 is a deficient number, since it is larger than the sum of its proper divisors (211699).

752525 is a wasteful number, since it uses less digits than its factorization.

752525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1007 counting only the distinct ones).

The product of its digits is 3500, while the sum is 26.

The square root of 752525 is about 867.4819882856. The cubic root of 752525 is about 90.9578760881.

It can be divided in two parts, 75252 and 5, that added together give a palindrome (75257).

The spelling of 752525 in words is "seven hundred fifty-two thousand, five hundred twenty-five".