477723313 has 2 divisors, whose sum is σ = 477723314. Its totient is φ = 477723312.

The previous prime is 477723283. The next prime is 477723329. The reversal of 477723313 is 313327774.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 428821264 + 48902049 = 20708^2 + 6993^2 .

It is a cyclic number.

It is not a de Polignac number, because 477723313 - 2²¹ = 475626161 is a prime.

It is not a weakly prime, because it can be changed into another prime (477723383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 238861656 + 238861657.

It is an arithmetic number, because the mean of its divisors is an integer number (238861657).

Almost surely, 2^477723313 is an apocalyptic number.

It is an amenable number.

477723313 is a deficient number, since it is larger than the sum of its proper divisors (1).

477723313 is an equidigital number, since it uses as much as digits as its factorization.

477723313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 74088, while the sum is 37.

The square root of 477723313 is about 21856.8825087202. The cubic root of 477723313 is about 781.7336591857.

The spelling of 477723313 in words is "four hundred seventy-seven million, seven hundred twenty-three thousand, three hundred thirteen".