61006010097813 has 32 divisors (see below), whose sum is σ = 93409725450240. Its totient is φ = 35026101394560.

The previous prime is 61006010097763. The next prime is 61006010097827. The reversal of 61006010097813 is 31879001060016.

61006010097813 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 61006010097813 - 2⁶ = 61006010097749 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61006010097833) 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 31 ways as a sum of consecutive naturals, for example, 15637156 + ... + 19145042.

It is an arithmetic number, because the mean of its divisors is an integer number (2919053920320).

Almost surely, 2^{61006010097813} is an apocalyptic number.

It is an amenable number.

61006010097813 is a deficient number, since it is larger than the sum of its proper divisors (32403715352427).

61006010097813 is a wasteful number, since it uses less digits than its factorization.

61006010097813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535657.

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 61006010097813 in words is "sixty-one trillion, six billion, ten million, ninety-seven thousand, eight hundred thirteen".