61266356125 has 16 divisors (see below), whose sum is σ = 82341984816. Its totient is φ = 45242846400.

The previous prime is 61266356111. The next prime is 61266356147. The reversal of 61266356125 is 52165366216.

It can be written as a sum of positive squares in 8 ways, for example, as 17726525881 + 43539830244 = 133141^2 + 208662^2 .

It is a de Polignac number, because none of the positive numbers 2^k-61266356125 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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18849562 + ... + 18852811.

It is an arithmetic number, because the mean of its divisors is an integer number (5146374051).

Almost surely, 2^61266356125 is an apocalyptic number.

61266356125 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

61266356125 is a deficient number, since it is larger than the sum of its proper divisors (21075628691).

61266356125 is a wasteful number, since it uses less digits than its factorization.

61266356125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37702401 (or 37702391 counting only the distinct ones).

The product of its digits is 388800, while the sum is 43.

The spelling of 61266356125 in words is "sixty-one billion, two hundred sixty-six million, three hundred fifty-six thousand, one hundred twenty-five".