27300321201325 has 24 divisors (see below), whose sum is σ = 34641739427400. Its totient is φ = 21334603580160.

The previous prime is 27300321201301. The next prime is 27300321201403. The reversal of 27300321201325 is 52310212300372.

It can be written as a sum of positive squares in 12 ways, for example, as 1647018023044 + 25653303178281 = 1283362^2 + 5064909^2 .

It is not a de Polignac number, because 27300321201325 - 2⁹ = 27300321200813 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44683510 + ... + 45290359.

It is an arithmetic number, because the mean of its divisors is an integer number (1443405809475).

Almost surely, 2^{27300321201325} is an apocalyptic number.

27300321201325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27300321201325 is a deficient number, since it is larger than the sum of its proper divisors (7341418226075).

27300321201325 is a wasteful number, since it uses less digits than its factorization.

27300321201325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89974161 (or 89974156 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

Adding to 27300321201325 its reverse (52310212300372), we get a palindrome (79610533501697).

The spelling of 27300321201325 in words is "twenty-seven trillion, three hundred billion, three hundred twenty-one million, two hundred one thousand, three hundred twenty-five".