861313205313 has 144 divisors (see below), whose sum is σ = 1461421398528. Its totient is φ = 487314432000.

The previous prime is 861313205293. The next prime is 861313205321. The reversal of 861313205313 is 313502313168.

861313205313 is a `hidden beast` number, since 8 + 6 + 1 + 313 + 20 + 5 + 313 = 666.

It is not a de Polignac number, because 861313205313 - 2¹⁴ = 861313188929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (861313205383) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 537983713 + ... + 537985313.

It is an arithmetic number, because the mean of its divisors is an integer number (10148759712).

Almost surely, 2^861313205313 is an apocalyptic number.

It is an amenable number.

861313205313 is a deficient number, since it is larger than the sum of its proper divisors (600108193215).

861313205313 is a wasteful number, since it uses less digits than its factorization.

861313205313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2156 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 861313205313 in words is "eight hundred sixty-one billion, three hundred thirteen million, two hundred five thousand, three hundred thirteen".