75641365201 has 2 divisors, whose sum is σ = 75641365202. Its totient is φ = 75641365200.

The previous prime is 75641365159. The next prime is 75641365223. The reversal of 75641365201 is 10256314657.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60675512976 + 14965852225 = 246324^2 + 122335^2 .

It is an emirp because it is prime and its reverse (10256314657) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 75641365201 - 2⁷ = 75641365073 is a prime.

It is a super-2 number, since 2×75641365201² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (75641365901) 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, 37820682600 + 37820682601.

It is an arithmetic number, because the mean of its divisors is an integer number (37820682601).

Almost surely, 2^75641365201 is an apocalyptic number.

It is an amenable number.

75641365201 is a deficient number, since it is larger than the sum of its proper divisors (1).

75641365201 is an equidigital number, since it uses as much as digits as its factorization.

75641365201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 151200, while the sum is 40.

Adding to 75641365201 its reverse (10256314657), we get a palindrome (85897679858).

The spelling of 75641365201 in words is "seventy-five billion, six hundred forty-one million, three hundred sixty-five thousand, two hundred one".