26006400225 has 81 divisors (see below), whose sum is σ = 50500143993. Its totient is φ = 12787669440.

The previous prime is 26006400191. The next prime is 26006400293. The reversal of 26006400225 is 52200460062.

The square root of 26006400225 is 161265.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6703188129 + 19303212096 = 81873^2 + 138936^2 .

It is not a de Polignac number, because 26006400225 - 2¹³ = 26006392033 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 31446262 + ... + 31447088.

Almost surely, 2^26006400225 is an apocalyptic number.

26006400225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26006400225 is the 161265-th square number.

26006400225 is the 80633-rd centered octagonal number.

It is an amenable number.

26006400225 is a deficient number, since it is larger than the sum of its proper divisors (24493743768).

26006400225 is an equidigital number, since it uses as much as digits as its factorization.

26006400225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 26006400225 its reverse (52200460062), we get a palindrome (78206860287).

The spelling of 26006400225 in words is "twenty-six billion, six million, four hundred thousand, two hundred twenty-five".