53061666616035 has 512 divisors, whose sum is σ = 122177387888640. Its totient is φ = 21211211059200.

The previous prime is 53061666616003. The next prime is 53061666616087.

53061666616035 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 53061666616035 - 2⁵ = 53061666616003 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 21684374182 + ... + 21684376628.

It is an arithmetic number, because the mean of its divisors is an integer number (238627710720).

Almost surely, 2^{53061666616035} is an apocalyptic number.

53061666616035 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53061666616035 is an abundant number, since it is smaller than the sum of its proper divisors (69115721272605).

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

53061666616035 is a wasteful number, since it uses less digits than its factorization.

53061666616035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 53061666616035 in words is "fifty-three trillion, sixty-one billion, six hundred sixty-six million, six hundred sixteen thousand, thirty-five".