55621301604961 has 9 divisors (see below), whose sum is σ = 55712235680049. Its totient is φ = 55530515748324.

The previous prime is 55621301604959. The next prime is 55621301604991. The reversal of 55621301604961 is 16940610312655.

The square root of 55621301604961 is 7457969.

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

55621301604961 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 55621301604961 - 2¹ = 55621301604959 is a prime.

It is a super-2 number, since 2×55621301604961² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55621301604991) 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 8 ways as a sum of consecutive naturals, for example, 4825300180 + ... + 4825311706.

Almost surely, 2^{55621301604961} is an apocalyptic number.

55621301604961 is the 7457969-th square number.

55621301604961 is the 3728985-th centered octagonal number.

It is an amenable number.

55621301604961 is a deficient number, since it is larger than the sum of its proper divisors (90934075088).

55621301604961 is an frugal number, since it uses more digits than its factorization.

55621301604961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24348 (or 12174 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

The spelling of 55621301604961 in words is "fifty-five trillion, six hundred twenty-one billion, three hundred one million, six hundred four thousand, nine hundred sixty-one".