901185741272753 has 2 divisors, whose sum is σ = 901185741272754. Its totient is φ = 901185741272752.

The previous prime is 901185741272699. The next prime is 901185741272759. The reversal of 901185741272753 is 357272147581109.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 901172601694369 + 13139578384 = 30019537^2 + 114628^2 .

It is a cyclic number.

It is not a de Polignac number, because 901185741272753 - 2⁸ = 901185741272497 is a prime.

It is not a weakly prime, because it can be changed into another prime (901185741272759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 450592870636376 + 450592870636377.

It is an arithmetic number, because the mean of its divisors is an integer number (450592870636377).

Almost surely, 2^{901185741272753} is an apocalyptic number.

It is an amenable number.

901185741272753 is a deficient number, since it is larger than the sum of its proper divisors (1).

901185741272753 is an equidigital number, since it uses as much as digits as its factorization.

901185741272753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29635200, while the sum is 62.

The spelling of 901185741272753 in words is "nine hundred one trillion, one hundred eighty-five billion, seven hundred forty-one million, two hundred seventy-two thousand, seven hundred fifty-three".