752106413 has 2 divisors, whose sum is σ = 752106414. Its totient is φ = 752106412.

The previous prime is 752106347. The next prime is 752106427. The reversal of 752106413 is 314601257.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 631919044 + 120187369 = 25138^2 + 10963^2 .

It is a cyclic number.

It is not a de Polignac number, because 752106413 - 2¹² = 752102317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (752106493) 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, 376053206 + 376053207.

It is an arithmetic number, because the mean of its divisors is an integer number (376053207).

Almost surely, 2^752106413 is an apocalyptic number.

It is an amenable number.

752106413 is a deficient number, since it is larger than the sum of its proper divisors (1).

752106413 is an equidigital number, since it uses as much as digits as its factorization.

752106413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 752106413 is about 27424.5585743873. The cubic root of 752106413 is about 909.4100805667.

The spelling of 752106413 in words is "seven hundred fifty-two million, one hundred six thousand, four hundred thirteen".