26582561 has 2 divisors, whose sum is σ = 26582562. Its totient is φ = 26582560.

The previous prime is 26582527. The next prime is 26582573. The reversal of 26582561 is 16528562.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25806400 + 776161 = 5080^2 + 881^2 .

It is a cyclic number.

It is not a de Polignac number, because 26582561 - 2¹⁸ = 26320417 is a prime.

It is a Chen prime.

It is equal to p_1658654 and since 26582561 and 1658654 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (26582581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13291280 + 13291281.

It is an arithmetic number, because the mean of its divisors is an integer number (13291281).

Almost surely, 2^26582561 is an apocalyptic number.

It is an amenable number.

26582561 is a deficient number, since it is larger than the sum of its proper divisors (1).

26582561 is an equidigital number, since it uses as much as digits as its factorization.

26582561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 28800, while the sum is 35.

The square root of 26582561 is about 5155.8278675689. The cubic root of 26582561 is about 298.4458927000.

The spelling of 26582561 in words is "twenty-six million, five hundred eighty-two thousand, five hundred sixty-one".