27542251246217 has 8 divisors (see below), whose sum is σ = 27854501755080. Its totient is φ = 27231759895680.

The previous prime is 27542251246121. The next prime is 27542251246231. The reversal of 27542251246217 is 71264215224572.

It can be written as a sum of positive squares in 4 ways, for example, as 8752982599936 + 18789268646281 = 2958544^2 + 4334659^2 .

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 27542251246217 - 2¹⁴ = 27542251229833 is a prime.

It is a super-2 number, since 2×27542251246217² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27542251246297) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 439758092 + ... + 439820717.

It is an arithmetic number, because the mean of its divisors is an integer number (3481812719385).

Almost surely, 2^{27542251246217} is an apocalyptic number.

It is an amenable number.

27542251246217 is a deficient number, since it is larger than the sum of its proper divisors (312250508863).

27542251246217 is a wasteful number, since it uses less digits than its factorization.

27542251246217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879579163.

The product of its digits is 3763200, while the sum is 50.

The spelling of 27542251246217 in words is "twenty-seven trillion, five hundred forty-two billion, two hundred fifty-one million, two hundred forty-six thousand, two hundred seventeen".