27825617925797 has 2 divisors, whose sum is σ = 27825617925798. Its totient is φ = 27825617925796.

The previous prime is 27825617925773. The next prime is 27825617925821. The reversal of 27825617925797 is 79752971652872.

It is a balanced prime because it is at equal distance from previous prime (27825617925773) and next prime (27825617925821).

It can be written as a sum of positive squares in only one way, i.e., 27800247488836 + 25370436961 = 5272594^2 + 159281^2 .

It is a cyclic number.

It is not a de Polignac number, because 27825617925797 - 2⁸ = 27825617925541 is a prime.

It is a super-3 number, since 3×27825617925797³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27825617925727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13912808962898 + 13912808962899.

It is an arithmetic number, because the mean of its divisors is an integer number (13912808962899).

Almost surely, 2^{27825617925797} is an apocalyptic number.

It is an amenable number.

27825617925797 is a deficient number, since it is larger than the sum of its proper divisors (1).

27825617925797 is an equidigital number, since it uses as much as digits as its factorization.

27825617925797 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1867017600, while the sum is 77.

The spelling of 27825617925797 in words is "twenty-seven trillion, eight hundred twenty-five billion, six hundred seventeen million, nine hundred twenty-five thousand, seven hundred ninety-seven".