472772367017009 has 2 divisors, whose sum is σ = 472772367017010. Its totient is φ = 472772367017008.

The previous prime is 472772367016891. The next prime is 472772367017011. The reversal of 472772367017009 is 900710763277274.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 472005171462400 + 767195554609 = 21725680^2 + 875897^2 .

It is a cyclic number.

It is not a de Polignac number, because 472772367017009 - 2²⁴ = 472772350239793 is a prime.

It is a super-2 number, since 2×472772367017009² (a number of 30 digits) contains 22 as substring.

Together with 472772367017011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (472772367017059) 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, 236386183508504 + 236386183508505.

It is an arithmetic number, because the mean of its divisors is an integer number (236386183508505).

Almost surely, 2^{472772367017009} is an apocalyptic number.

It is an amenable number.

472772367017009 is a deficient number, since it is larger than the sum of its proper divisors (1).

472772367017009 is an equidigital number, since it uses as much as digits as its factorization.

472772367017009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43563744, while the sum is 62.

The spelling of 472772367017009 in words is "four hundred seventy-two trillion, seven hundred seventy-two billion, three hundred sixty-seven million, seventeen thousand, nine".