752314033 has 2 divisors, whose sum is σ = 752314034. Its totient is φ = 752314032.

The previous prime is 752313977. The next prime is 752314049. The reversal of 752314033 is 330413257.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 647804304 + 104509729 = 25452^2 + 10223^2 .

It is a cyclic number.

It is not a de Polignac number, because 752314033 - 2⁹ = 752313521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 752313992 and 752314010.

It is not a weakly prime, because it can be changed into another prime (752314733) 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, 376157016 + 376157017.

It is an arithmetic number, because the mean of its divisors is an integer number (376157017).

Almost surely, 2^752314033 is an apocalyptic number.

It is an amenable number.

752314033 is a deficient number, since it is larger than the sum of its proper divisors (1).

752314033 is an equidigital number, since it uses as much as digits as its factorization.

752314033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 752314033 is about 27428.3436065687. The cubic root of 752314033 is about 909.4937541650.

The spelling of 752314033 in words is "seven hundred fifty-two million, three hundred fourteen thousand, thirty-three".