1009255579201 has 2 divisors, whose sum is σ = 1009255579202. Its totient is φ = 1009255579200.

The previous prime is 1009255579181. The next prime is 1009255579207. The reversal of 1009255579201 is 1029755529001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 899227372176 + 110028207025 = 948276^2 + 331705^2 .

It is an emirp because it is prime and its reverse (1029755529001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1009255579201 - 2²³ = 1009247190593 is a prime.

It is not a weakly prime, because it can be changed into another prime (1009255579207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504627789600 + 504627789601.

It is an arithmetic number, because the mean of its divisors is an integer number (504627789601).

Almost surely, 2^{1009255579201} is an apocalyptic number.

It is an amenable number.

1009255579201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009255579201 is an equidigital number, since it uses as much as digits as its factorization.

1009255579201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 283500, while the sum is 46.

The spelling of 1009255579201 in words is "one trillion, nine billion, two hundred fifty-five million, five hundred seventy-nine thousand, two hundred one".