10505313 has 48 divisors (see below), whose sum is σ = 19009536. Its totient is φ = 5443200.

The previous prime is 10505291. The next prime is 10505317. The reversal of 10505313 is 31350501.

It is a happy number.

It is not a de Polignac number, because 10505313 - 2⁵ = 10505281 is a prime.

It is a super-2 number, since 2×10505313² = 220723202455938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10505317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82656 + ... + 82782.

It is an arithmetic number, because the mean of its divisors is an integer number (396032).

Almost surely, 2^10505313 is an apocalyptic number.

10505313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10505313 is a deficient number, since it is larger than the sum of its proper divisors (8504223).

10505313 is a wasteful number, since it uses less digits than its factorization.

10505313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 10505313 is about 3241.1900592221. The cubic root of 10505313 is about 219.0128847114.

Adding to 10505313 its reverse (31350501), we get a palindrome (41855814).

The spelling of 10505313 in words is "ten million, five hundred five thousand, three hundred thirteen".