103585513 has 2 divisors, whose sum is σ = 103585514. Its totient is φ = 103585512.

The previous prime is 103585487. The next prime is 103585519. The reversal of 103585513 is 315585301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99141849 + 4443664 = 9957^2 + 2108^2 .

It is a cyclic number.

It is not a de Polignac number, because 103585513 - 2⁵ = 103585481 is a prime.

It is a super-3 number, since 3×103585513³ (a number of 25 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (103585519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51792756 + 51792757.

It is an arithmetic number, because the mean of its divisors is an integer number (51792757).

Almost surely, 2^103585513 is an apocalyptic number.

It is an amenable number.

103585513 is a deficient number, since it is larger than the sum of its proper divisors (1).

103585513 is an equidigital number, since it uses as much as digits as its factorization.

103585513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9000, while the sum is 31.

The square root of 103585513 is about 10177.6968416238. The cubic root of 103585513 is about 469.6413636516.

The spelling of 103585513 in words is "one hundred three million, five hundred eighty-five thousand, five hundred thirteen".