13526001 has 24 divisors (see below), whose sum is σ = 20969760. Its totient is φ = 8616168.

The previous prime is 13525991. The next prime is 13526011. The reversal of 13526001 is 10062531.

13526001 is a `hidden beast` number, since 13 + 52 + 600 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (13525991) and next prime (13526011).

It is not a de Polignac number, because 13526001 - 2⁵ = 13525969 is a prime.

It is a super-3 number, since 3×13526001³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13526011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13810 + ... + 14756.

It is an arithmetic number, because the mean of its divisors is an integer number (873740).

Almost surely, 2^13526001 is an apocalyptic number.

It is an amenable number.

13526001 is a deficient number, since it is larger than the sum of its proper divisors (7443759).

13526001 is an equidigital number, since it uses as much as digits as its factorization.

13526001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 13526001 is about 3677.7712000613. The cubic root of 13526001 is about 238.2629264810.

Adding to 13526001 its reverse (10062531), we get a palindrome (23588532).

The spelling of 13526001 in words is "thirteen million, five hundred twenty-six thousand, one".