1013585473 has 2 divisors, whose sum is σ = 1013585474. Its totient is φ = 1013585472.

The previous prime is 1013585449. The next prime is 1013585483. The reversal of 1013585473 is 3745853101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 671224464 + 342361009 = 25908^2 + 18503^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1013585473 is a prime.

It is a super-2 number, since 2×1013585473² = 2054711022153267458, which contains 22 as substring.

It is a nialpdrome in base 14.

It is not a weakly prime, because it can be changed into another prime (1013585483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506792736 + 506792737.

It is an arithmetic number, because the mean of its divisors is an integer number (506792737).

Almost surely, 2^1013585473 is an apocalyptic number.

It is an amenable number.

1013585473 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013585473 is an equidigital number, since it uses as much as digits as its factorization.

1013585473 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 1013585473 is about 31836.8571470238. The cubic root of 1013585473 is about 1004.5081371593.

The spelling of 1013585473 in words is "one billion, thirteen million, five hundred eighty-five thousand, four hundred seventy-three".