61661317406253 has 64 divisors (see below), whose sum is σ = 84690619453440. Its totient is φ = 39893060390400.

The previous prime is 61661317406191. The next prime is 61661317406263. The reversal of 61661317406253 is 35260471316616.

61661317406253 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 61661317406253 - 2²⁸ = 61661048970797 is a prime.

It is a super-3 number, since 3×61661317406253³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61661317406196 and 61661317406205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61661317406263) 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, 14847413625 + ... + 14847417777.

It is an arithmetic number, because the mean of its divisors is an integer number (1323290928960).

Almost surely, 2^{61661317406253} is an apocalyptic number.

It is an amenable number.

61661317406253 is a deficient number, since it is larger than the sum of its proper divisors (23029302047187).

61661317406253 is a wasteful number, since it uses less digits than its factorization.

61661317406253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8250.

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 61661317406253 in words is "sixty-one trillion, six hundred sixty-one billion, three hundred seventeen million, four hundred six thousand, two hundred fifty-three".