10527813 has 20 divisors (see below), whose sum is σ = 16413408. Its totient is φ = 6712200.

The previous prime is 10527793. The next prime is 10527823. The reversal of 10527813 is 31872501.

10527813 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 10527813 - 2¹⁸ = 10265669 is a prime.

It is a super-2 number, since 2×10527813² = 221669693125938, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10527823) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 963 + ... + 4688.

Almost surely, 2^10527813 is an apocalyptic number.

It is an amenable number.

10527813 is a deficient number, since it is larger than the sum of its proper divisors (5885595).

10527813 is an equidigital number, since it uses as much as digits as its factorization.

10527813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5686 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 10527813 is about 3244.6591500495. The cubic root of 10527813 is about 219.1691318730.

The spelling of 10527813 in words is "ten million, five hundred twenty-seven thousand, eight hundred thirteen".