61378080516 has 81 divisors (see below), whose sum is σ = 156740623221. Its totient is φ = 20251749024.

The previous prime is 61378080509. The next prime is 61378080521. The reversal of 61378080516 is 61508087316.

The square root of 61378080516 is 247746.

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

61378080516 is a `hidden beast` number, since 61 + 3 + 78 + 0 + 8 + 0 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17990856900 + 43387223616 = 134130^2 + 208296^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 233376601 + ... + 233376863.

Almost surely, 2^61378080516 is an apocalyptic number.

61378080516 is the 247746-th square number.

It is an amenable number.

61378080516 is an abundant number, since it is smaller than the sum of its proper divisors (95362542705).

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

61378080516 is a wasteful number, since it uses less digits than its factorization.

61378080516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 61378080516 in words is "sixty-one billion, three hundred seventy-eight million, eighty thousand, five hundred sixteen".