752513 has 2 divisors, whose sum is σ = 752514. Its totient is φ = 752512.

The previous prime is 752503. The next prime is 752519. The reversal of 752513 is 315257.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 744769 + 7744 = 863^2 + 88^2 .

It is an emirp because it is prime and its reverse (315257) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 752513 - 2⁶ = 752449 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (752519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 376256 + 376257.

It is an arithmetic number, because the mean of its divisors is an integer number (376257).

2⁷⁵²⁵¹³ is an apocalyptic number.

It is an amenable number.

752513 is a deficient number, since it is larger than the sum of its proper divisors (1).

752513 is an equidigital number, since it uses as much as digits as its factorization.

752513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1050, while the sum is 23.

The square root of 752513 is about 867.4750716879. The cubic root of 752513 is about 90.9573926046.

The spelling of 752513 in words is "seven hundred fifty-two thousand, five hundred thirteen".