61541063892321 has 64 divisors (see below), whose sum is σ = 89356001280000. Its totient is φ = 37448548300800.

The previous prime is 61541063892247. The next prime is 61541063892331. The reversal of 61541063892321 is 12329836014516.

61541063892321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61541063892321 - 2¹³ = 61541063884129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61541063892331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9788618440 + ... + 9788624726.

It is an arithmetic number, because the mean of its divisors is an integer number (1396187520000).

Almost surely, 2^{61541063892321} is an apocalyptic number.

It is an amenable number.

61541063892321 is a deficient number, since it is larger than the sum of its proper divisors (27814937387679).

61541063892321 is a wasteful number, since it uses less digits than its factorization.

61541063892321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9606.

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 61541063892321 in words is "sixty-one trillion, five hundred forty-one billion, sixty-three million, eight hundred ninety-two thousand, three hundred twenty-one".