752961217 has 2 divisors, whose sum is σ = 752961218. Its totient is φ = 752961216.

The previous prime is 752961151. The next prime is 752961227. The reversal of 752961217 is 712169257.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 443060401 + 309900816 = 21049^2 + 17604^2 .

It is an emirp because it is prime and its reverse (712169257) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 752961217 - 2¹¹ = 752959169 is a prime.

It is a super-2 number, since 2×752961217² = 1133901188612242178, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 752961217.

It is not a weakly prime, because it can be changed into another prime (752961227) 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 as a sum of consecutive naturals, namely, 376480608 + 376480609.

It is an arithmetic number, because the mean of its divisors is an integer number (376480609).

Almost surely, 2^752961217 is an apocalyptic number.

It is an amenable number.

752961217 is a deficient number, since it is larger than the sum of its proper divisors (1).

752961217 is an equidigital number, since it uses as much as digits as its factorization.

752961217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52920, while the sum is 40.

The square root of 752961217 is about 27440.1387933808. The cubic root of 752961217 is about 909.7544791084.

The spelling of 752961217 in words is "seven hundred fifty-two million, nine hundred sixty-one thousand, two hundred seventeen".