61125751125 has 24 divisors (see below), whose sum is σ = 110189356056. Its totient is φ = 32600400000.

The previous prime is 61125751117. The next prime is 61125751147. The reversal of 61125751125 is 52115752116.

61125751125 is a `hidden beast` number, since 6 + 112 + 5 + 7 + 511 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 659924721 + 60465826404 = 25689^2 + 245898^2 .

It is not a de Polignac number, because 61125751125 - 2³ = 61125751117 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 61125751125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27165876 + ... + 27168125.

It is an arithmetic number, because the mean of its divisors is an integer number (4591223169).

Almost surely, 2^61125751125 is an apocalyptic number.

It is an amenable number.

61125751125 is a deficient number, since it is larger than the sum of its proper divisors (49063604931).

61125751125 is a wasteful number, since it uses less digits than its factorization.

61125751125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54334022 (or 54334009 counting only the distinct ones).

The product of its digits is 21000, while the sum is 36.

Subtracting from 61125751125 its reverse (52115752116), we obtain a palindrome (9009999009).

The spelling of 61125751125 in words is "sixty-one billion, one hundred twenty-five million, seven hundred fifty-one thousand, one hundred twenty-five".