26952117241 has 27 divisors (see below), whose sum is σ = 32098054149. Its totient is φ = 22564975608.

The previous prime is 26952117217. The next prime is 26952117277. The reversal of 26952117241 is 14271125962.

The square root of 26952117241 is 164171.

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

It is not a de Polignac number, because 26952117241 - 2⁷ = 26952117113 is a prime.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 26952117194 and 26952117203.

It is not an unprimeable number, because it can be changed into a prime (26952117281) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54012010 + ... + 54012508.

Almost surely, 2^26952117241 is an apocalyptic number.

26952117241 is the 164171-st square number.

26952117241 is the 82086-th centered octagonal number.

It is an amenable number.

26952117241 is a deficient number, since it is larger than the sum of its proper divisors (5145936908).

26952117241 is an frugal number, since it uses more digits than its factorization.

26952117241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 553 counting only the distinct ones).

The product of its digits is 60480, while the sum is 40.

It can be divided in two parts, 2695 and 2117241, that added together give a square (2119936 = 1456²).

The spelling of 26952117241 in words is "twenty-six billion, nine hundred fifty-two million, one hundred seventeen thousand, two hundred forty-one".