27261257153 has 8 divisors (see below), whose sum is σ = 29364657000. Its totient is φ = 25158768768.

The previous prime is 27261257147. The next prime is 27261257189. The reversal of 27261257153 is 35175216272.

It can be written as a sum of positive squares in 4 ways, for example, as 1085900209 + 26175356944 = 32953^2 + 161788^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27261257153 - 2²⁴ = 27244479937 is a prime.

It is a super-2 number, since 2×27261257153² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27261257153.

It is not an unprimeable number, because it can be changed into a prime (27261257113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165098 + ... + 285971.

It is an arithmetic number, because the mean of its divisors is an integer number (3670582125).

Almost surely, 2^27261257153 is an apocalyptic number.

It is an amenable number.

27261257153 is a deficient number, since it is larger than the sum of its proper divisors (2103399847).

27261257153 is a wasteful number, since it uses less digits than its factorization.

27261257153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455731.

The product of its digits is 176400, while the sum is 41.

The spelling of 27261257153 in words is "twenty-seven billion, two hundred sixty-one million, two hundred fifty-seven thousand, one hundred fifty-three".