61067826125 has 60 divisors (see below), whose sum is σ = 82325983740. Its totient is φ = 45222738000.

The previous prime is 61067826121. The next prime is 61067826137. The reversal of 61067826125 is 52162876016.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1954170436 + 59113655689 = 44206^2 + 243133^2 .

It is not a de Polignac number, because 61067826125 - 2² = 61067826121 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61067826121) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1969929860 + ... + 1969929890.

It is an arithmetic number, because the mean of its divisors is an integer number (1372099729).

Almost surely, 2^61067826125 is an apocalyptic number.

It is an amenable number.

61067826125 is a deficient number, since it is larger than the sum of its proper divisors (21258157615).

61067826125 is an frugal number, since it uses more digits than its factorization.

61067826125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 61067826125 in words is "sixty-one billion, sixty-seven million, eight hundred twenty-six thousand, one hundred twenty-five".