945511306001 has 2 divisors, whose sum is σ = 945511306002. Its totient is φ = 945511306000.

The previous prime is 945511305953. The next prime is 945511306009. The reversal of 945511306001 is 100603115549.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 907408656400 + 38102649601 = 952580^2 + 195199^2 .

It is an emirp because it is prime and its reverse (100603115549) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 945511306001 - 2¹⁰ = 945511304977 is a prime.

It is a super-2 number, since 2×945511306001² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (945511306009) 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, 472755653000 + 472755653001.

It is an arithmetic number, because the mean of its divisors is an integer number (472755653001).

Almost surely, 2^945511306001 is an apocalyptic number.

It is an amenable number.

945511306001 is a deficient number, since it is larger than the sum of its proper divisors (1).

945511306001 is an equidigital number, since it uses as much as digits as its factorization.

945511306001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16200, while the sum is 35.

The spelling of 945511306001 in words is "nine hundred forty-five billion, five hundred eleven million, three hundred six thousand, one".