61853333066721 has 243 divisors, whose sum is σ = 114798711973491. Its totient is φ = 31991289821568.

The previous prime is 61853333066713. The next prime is 61853333066771. The reversal of 61853333066721 is 12766033335816.

The square root of 61853333066721 is 7864689.

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

61853333066721 is a `hidden beast` number, since 6 + 1 + 8 + 533 + 3 + 30 + 6 + 6 + 72 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57320419550625 + 4532913516096 = 7571025^2 + 2129064^2 .

It is not a de Polignac number, because 61853333066721 - 2³ = 61853333066713 is a prime.

It is a super-2 number, since 2×61853333066721² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61853333066711) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 72174250525 + ... + 72174251381.

Almost surely, 2^{61853333066721} is an apocalyptic number.

61853333066721 is the 7864689-th square number.

61853333066721 is the 3932345-th centered octagonal number.

It is an amenable number.

61853333066721 is a deficient number, since it is larger than the sum of its proper divisors (52945378906770).

61853333066721 is an equidigital number, since it uses as much as digits as its factorization.

61853333066721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 61853333066721 in words is "sixty-one trillion, eight hundred fifty-three billion, three hundred thirty-three million, sixty-six thousand, seven hundred twenty-one".