472772138018353 has 2 divisors, whose sum is σ = 472772138018354. Its totient is φ = 472772138018352.

The previous prime is 472772138018269. The next prime is 472772138018359. The reversal of 472772138018353 is 353810831277274.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 425043494595889 + 47728643422464 = 20616583^2 + 6908592^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-472772138018353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 472772138018291 and 472772138018300.

It is not a weakly prime, because it can be changed into another prime (472772138018359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 236386069009176 + 236386069009177.

It is an arithmetic number, because the mean of its divisors is an integer number (236386069009177).

Almost surely, 2^{472772138018353} is an apocalyptic number.

It is an amenable number.

472772138018353 is a deficient number, since it is larger than the sum of its proper divisors (1).

472772138018353 is an equidigital number, since it uses as much as digits as its factorization.

472772138018353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47416320, while the sum is 61.

The spelling of 472772138018353 in words is "four hundred seventy-two trillion, seven hundred seventy-two billion, one hundred thirty-eight million, eighteen thousand, three hundred fifty-three".