10538363 has 16 divisors (see below), whose sum is σ = 11880960. Its totient is φ = 9266400.

The previous prime is 10538329. The next prime is 10538413. The reversal of 10538363 is 36383501.

It is not a de Polignac number, because 10538363 - 2¹⁰ = 10537339 is a prime.

It is a super-2 number, since 2×10538363² = 222114189439538, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10538663) 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 in 15 ways as a sum of consecutive naturals, for example, 58133 + ... + 58313.

It is an arithmetic number, because the mean of its divisors is an integer number (742560).

Almost surely, 2^10538363 is an apocalyptic number.

10538363 is a deficient number, since it is larger than the sum of its proper divisors (1342597).

10538363 is a wasteful number, since it uses less digits than its factorization.

10538363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338.

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 10538363 is about 3246.2844915380. The cubic root of 10538363 is about 219.2423177728.

It can be divided in two parts, 10538 and 363, that added together give a palindrome (10901).

The spelling of 10538363 in words is "ten million, five hundred thirty-eight thousand, three hundred sixty-three".