61725604111081 has 2 divisors, whose sum is σ = 61725604111082. Its totient is φ = 61725604111080.

The previous prime is 61725604111051. The next prime is 61725604111099. The reversal of 61725604111081 is 18011140652716.

61725604111081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56892021582400 + 4833582528681 = 7542680^2 + 2198541^2 .

It is a cyclic number.

It is not a de Polignac number, because 61725604111081 - 2¹¹ = 61725604109033 is a prime.

It is a super-3 number, since 3×61725604111081³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (61725604111051) by changing a digit.

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 as a sum of consecutive naturals, namely, 30862802055540 + 30862802055541.

It is an arithmetic number, because the mean of its divisors is an integer number (30862802055541).

Almost surely, 2^{61725604111081} is an apocalyptic number.

It is an amenable number.

61725604111081 is a deficient number, since it is larger than the sum of its proper divisors (1).

61725604111081 is an equidigital number, since it uses as much as digits as its factorization.

61725604111081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80640, while the sum is 43.

Adding to 61725604111081 its reverse (18011140652716), we get a palindrome (79736744763797).

The spelling of 61725604111081 in words is "sixty-one trillion, seven hundred twenty-five billion, six hundred four million, one hundred eleven thousand, eighty-one".