26974675501225 has 27 divisors (see below), whose sum is σ = 33581240714469. Its totient is φ = 21494501150400.

The previous prime is 26974675501187. The next prime is 26974675501231. The reversal of 26974675501225 is 52210557647962.

The square root of 26974675501225 is 5193715.

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 4953842872729 + 22020832628496 = 2225723^2 + 4692636^2 .

It is not a de Polignac number, because 26974675501225 - 2¹³ = 26974675493033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7037481909 + ... + 7037485741.

Almost surely, 2^{26974675501225} is an apocalyptic number.

26974675501225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26974675501225 is the 5193715-th square number.

26974675501225 is the 2596858-th centered octagonal number.

It is an amenable number.

26974675501225 is a deficient number, since it is larger than the sum of its proper divisors (6606565213244).

26974675501225 is an frugal number, since it uses more digits than its factorization.

26974675501225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8218 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 61.

The spelling of 26974675501225 in words is "twenty-six trillion, nine hundred seventy-four billion, six hundred seventy-five million, five hundred one thousand, two hundred twenty-five".