61605225616 has 45 divisors (see below), whose sum is σ = 131220754329. Its totient is φ = 27997411200.

The previous prime is 61605225611. The next prime is 61605225623. The reversal of 61605225616 is 61652250616.

The square root of 61605225616 is 248204.

It is a perfect power (a square), and thus also a powerful number.

61605225616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 60908265616 + 696960000 = 246796^2 + 26400^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61605225611) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10918156 + ... + 10923796.

Almost surely, 2^61605225616 is an apocalyptic number.

61605225616 is the 248204-th square number.

It is an amenable number.

61605225616 is an abundant number, since it is smaller than the sum of its proper divisors (69615528713).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61605225616 is an frugal number, since it uses more digits than its factorization.

61605225616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11312 (or 5654 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 61605225616 in words is "sixty-one billion, six hundred five million, two hundred twenty-five thousand, six hundred sixteen".