7566075736201 has 2 divisors, whose sum is σ = 7566075736202. Its totient is φ = 7566075736200.

The previous prime is 7566075736127. The next prime is 7566075736273. The reversal of 7566075736201 is 1026375706657.

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., 6374736230976 + 1191339505225 = 2524824^2 + 1091485^2 .

It is a cyclic number.

It is not a de Polignac number, because 7566075736201 - 2²⁹ = 7565538865289 is a prime.

It is not a weakly prime, because it can be changed into another prime (7566075736291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3783037868100 + 3783037868101.

It is an arithmetic number, because the mean of its divisors is an integer number (3783037868101).

Almost surely, 2^{7566075736201} is an apocalyptic number.

It is an amenable number.

7566075736201 is a deficient number, since it is larger than the sum of its proper divisors (1).

7566075736201 is an equidigital number, since it uses as much as digits as its factorization.

7566075736201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11113200, while the sum is 55.

The spelling of 7566075736201 in words is "seven trillion, five hundred sixty-six billion, seventy-five million, seven hundred thirty-six thousand, two hundred one".