417301085953 has 2 divisors, whose sum is σ = 417301085954. Its totient is φ = 417301085952.

The previous prime is 417301085911. The next prime is 417301085959. The reversal of 417301085953 is 359580103714.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 384533931664 + 32767154289 = 620108^2 + 181017^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-417301085953 is a prime.

It is not a weakly prime, because it can be changed into another prime (417301085959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208650542976 + 208650542977.

It is an arithmetic number, because the mean of its divisors is an integer number (208650542977).

Almost surely, 2^417301085953 is an apocalyptic number.

It is an amenable number.

417301085953 is a deficient number, since it is larger than the sum of its proper divisors (1).

417301085953 is an equidigital number, since it uses as much as digits as its factorization.

417301085953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 417301085953 in words is "four hundred seventeen billion, three hundred one million, eighty-five thousand, nine hundred fifty-three".