10509534 has 32 divisors (see below), whose sum is σ = 26691840. Its totient is φ = 3002616.

The previous prime is 10509533. The next prime is 10509539. The reversal of 10509534 is 43590501.

10509534 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10509534² = 220900609794312, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10509498 and 10509507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10509533) 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, 13524 + ... + 14279.

It is an arithmetic number, because the mean of its divisors is an integer number (834120).

Almost surely, 2^10509534 is an apocalyptic number.

10509534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10509534 is an abundant number, since it is smaller than the sum of its proper divisors (16182306).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10509534 is a wasteful number, since it uses less digits than its factorization.

10509534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27821 (or 27815 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 10509534 is about 3241.8411435479. The cubic root of 10509534 is about 219.0422136677.

The spelling of 10509534 in words is "ten million, five hundred nine thousand, five hundred thirty-four".