75057313 has 2 divisors, whose sum is σ = 75057314. Its totient is φ = 75057312.

The previous prime is 75057289. The next prime is 75057319. The reversal of 75057313 is 31375057.

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., 57942544 + 17114769 = 7612^2 + 4137^2 .

It is a cyclic number.

It is not a de Polignac number, because 75057313 - 2²¹ = 72960161 is a prime.

It is not a weakly prime, because it can be changed into another prime (75057319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37528656 + 37528657.

It is an arithmetic number, because the mean of its divisors is an integer number (37528657).

Almost surely, 2^75057313 is an apocalyptic number.

It is an amenable number.

75057313 is a deficient number, since it is larger than the sum of its proper divisors (1).

75057313 is an equidigital number, since it uses as much as digits as its factorization.

75057313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11025, while the sum is 31.

The square root of 75057313 is about 8663.5623735274. The cubic root of 75057313 is about 421.8237267582.

The spelling of 75057313 in words is "seventy-five million, fifty-seven thousand, three hundred thirteen".