26513825 has 24 divisors (see below), whose sum is σ = 36955968. Its totient is φ = 18722880.

The previous prime is 26513821. The next prime is 26513831. The reversal of 26513825 is 52831562.

26513825 = 136² + 137² + ... + 434².

It is not a de Polignac number, because 26513825 - 2² = 26513821 is a prime.

It is a super-2 number, since 2×26513825² = 1405965832261250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 26513791 and 26513800.

It is not an unprimeable number, because it can be changed into a prime (26513821) 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, 5702 + ... + 9248.

It is an arithmetic number, because the mean of its divisors is an integer number (1539832).

Almost surely, 2^26513825 is an apocalyptic number.

26513825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

26513825 is a deficient number, since it is larger than the sum of its proper divisors (10442143).

26513825 is a wasteful number, since it uses less digits than its factorization.

26513825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3593 (or 3588 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

The square root of 26513825 is about 5149.1576981095. The cubic root of 26513825 is about 298.1884346407.

The spelling of 26513825 in words is "twenty-six million, five hundred thirteen thousand, eight hundred twenty-five".