10540512 has 36 divisors (see below), whose sum is σ = 29975400. Its totient is φ = 3513408.

The previous prime is 10540511. The next prime is 10540513. The reversal of 10540512 is 21504501.

It is an interprime number because it is at equal distance from previous prime (10540511) and next prime (10540513).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10540512² = 222204786444288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10540511) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18012 + ... + 18587.

It is an arithmetic number, because the mean of its divisors is an integer number (832650).

Almost surely, 2^10540512 is an apocalyptic number.

10540512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10540512 is an abundant number, since it is smaller than the sum of its proper divisors (19434888).

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

10540512 is a wasteful number, since it uses less digits than its factorization.

10540512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36615 (or 36604 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 10540512 is about 3246.6154684533. The cubic root of 10540512 is about 219.2572195091.

The spelling of 10540512 in words is "ten million, five hundred forty thousand, five hundred twelve".