752424257 has 4 divisors (see below), whose sum is σ = 810303060. Its totient is φ = 694545456.

The previous prime is 752424221. The next prime is 752424259.

It is a happy number.

752424257 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 298563841 + 453860416 = 17279^2 + 21304^2 .

It is a cyclic number.

It is not a de Polignac number, because 752424257 - 2¹⁰ = 752423233 is a prime.

It is a super-2 number, since 2×752424257² = 1132284525044004098, which contains 22 as substring.

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 752424257.

It is not an unprimeable number, because it can be changed into a prime (752424259) 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, 28939382 + ... + 28939407.

It is an arithmetic number, because the mean of its divisors is an integer number (202575765).

Almost surely, 2^752424257 is an apocalyptic number.

It is an amenable number.

752424257 is a deficient number, since it is larger than the sum of its proper divisors (57878803).

752424257 is a wasteful number, since it uses less digits than its factorization.

752424257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57878802.

The product of its digits is 156800, while the sum is 38.

The square root of 752424257 is about 27430.3528413325. The cubic root of 752424257 is about 909.5381696350.

The spelling of 752424257 in words is "seven hundred fifty-two million, four hundred twenty-four thousand, two hundred fifty-seven".