26562806361 has 135 divisors (see below), whose sum is σ = 50234871951. Its totient is φ = 13940742816.

The previous prime is 26562806359. The next prime is 26562806377. The reversal of 26562806361 is 16360826562.

The square root of 26562806361 is 162981.

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

26562806361 is a `hidden beast` number, since 2 + 6 + 5 + 6 + 2 + 8 + 0 + 636 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3929409225 + 22633397136 = 62685^2 + 150444^2 .

It is not a de Polignac number, because 26562806361 - 2¹ = 26562806359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (26562806321) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 133481340 + ... + 133481538.

Almost surely, 2^26562806361 is an apocalyptic number.

26562806361 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

26562806361 is the 162981-st square number.

26562806361 is the 81491-st centered octagonal number.

It is an amenable number.

26562806361 is a deficient number, since it is larger than the sum of its proper divisors (23672065590).

26562806361 is an equidigital number, since it uses as much as digits as its factorization.

26562806361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 26562806361 in words is "twenty-six billion, five hundred sixty-two million, eight hundred six thousand, three hundred sixty-one".