10005513 has 16 divisors (see below), whose sum is σ = 15292416. Its totient is φ = 5700240.

The previous prime is 10005511. The next prime is 10005539. The reversal of 10005513 is 31550001.

It is not a de Polignac number, because 10005513 - 2¹ = 10005511 is a prime.

It is a super-2 number, since 2×10005513² = 200220580786338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10005492 and 10005501.

It is not an unprimeable number, because it can be changed into a prime (10005511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10528 + ... + 11438.

It is an arithmetic number, because the mean of its divisors is an integer number (955776).

Almost surely, 2^10005513 is an apocalyptic number.

It is an amenable number.

10005513 is a deficient number, since it is larger than the sum of its proper divisors (5286903).

10005513 is an equidigital number, since it uses as much as digits as its factorization.

10005513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444.

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 10005513 is about 3163.1492218990. The cubic root of 10005513 is about 215.4830530580.

Adding to 10005513 its reverse (31550001), we get a palindrome (41555514).

The spelling of 10005513 in words is "ten million, five thousand, five hundred thirteen".