27121017125 has 32 divisors (see below), whose sum is σ = 34048965600. Its totient is φ = 21567782400.

The previous prime is 27121017097. The next prime is 27121017127. The reversal of 27121017125 is 52171012172.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 15139087681 + 11981929444 = 123041^2 + 109462^2 .

It is not a de Polignac number, because 27121017125 - 2¹⁶ = 27120951589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27121017127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27202127 + ... + 27203123.

It is an arithmetic number, because the mean of its divisors is an integer number (1064030175).

Almost surely, 2^27121017125 is an apocalyptic number.

27121017125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27121017125 is a deficient number, since it is larger than the sum of its proper divisors (6927948475).

27121017125 is an equidigital number, since it uses as much as digits as its factorization.

27121017125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 29.

Adding to 27121017125 its reverse (52171012172), we get a palindrome (79292029297).

The spelling of 27121017125 in words is "twenty-seven billion, one hundred twenty-one million, seventeen thousand, one hundred twenty-five".