752728513 has 2 divisors, whose sum is σ = 752728514. Its totient is φ = 752728512.

The previous prime is 752728441. The next prime is 752728519. The reversal of 752728513 is 315827257.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 670136769 + 82591744 = 25887^2 + 9088^2 .

It is an emirp because it is prime and its reverse (315827257) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 752728513 - 2¹⁷ = 752597441 is a prime.

It is not a weakly prime, because it can be changed into another prime (752728519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 376364256 + 376364257.

It is an arithmetic number, because the mean of its divisors is an integer number (376364257).

Almost surely, 2^752728513 is an apocalyptic number.

It is an amenable number.

752728513 is a deficient number, since it is larger than the sum of its proper divisors (1).

752728513 is an equidigital number, since it uses as much as digits as its factorization.

752728513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 117600, while the sum is 40.

The square root of 752728513 is about 27435.8982539300. The cubic root of 752728513 is about 909.6607490400.

The spelling of 752728513 in words is "seven hundred fifty-two million, seven hundred twenty-eight thousand, five hundred thirteen".