10509853 has 6 divisors (see below), whose sum is σ = 10628826. Its totient is φ = 10392192.

The previous prime is 10509841. The next prime is 10509871. The reversal of 10509853 is 35890501.

It can be written as a sum of positive squares in 3 ways, for example, as 31684 + 10478169 = 178^2 + 3237^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10509853 is a prime.

It is a super-2 number, since 2×10509853² = 220914020163218, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10509823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8851 + ... + 9967.

It is an arithmetic number, because the mean of its divisors is an integer number (1771471).

Almost surely, 2^10509853 is an apocalyptic number.

It is an amenable number.

10509853 is a deficient number, since it is larger than the sum of its proper divisors (118973).

10509853 is an frugal number, since it uses more digits than its factorization.

10509853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 10509853 is about 3241.8903436113. The cubic root of 10509853 is about 219.0444298700.

The spelling of 10509853 in words is "ten million, five hundred nine thousand, eight hundred fifty-three".