610312605300513 has 24 divisors (see below), whose sum is σ = 886330782016680. Its totient is φ = 404675348613120.

The previous prime is 610312605300389. The next prime is 610312605300557. The reversal of 610312605300513 is 315003506213016.

610312605300513 is a `hidden beast` number, since 6 + 1 + 0 + 3 + 1 + 2 + 605 + 30 + 0 + 5 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 231196191188769 + 379116414111744 = 15205137^2 + 19470912^2 .

It is not a de Polignac number, because 610312605300513 - 2³⁰ = 610311531558689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (610312605302513) 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 23 ways as a sum of consecutive naturals, for example, 32058358 + ... + 47416911.

It is an arithmetic number, because the mean of its divisors is an integer number (36930449250695).

Almost surely, 2^{610312605300513} is an apocalyptic number.

It is an amenable number.

610312605300513 is a deficient number, since it is larger than the sum of its proper divisors (276018176716167).

610312605300513 is a wasteful number, since it uses less digits than its factorization.

610312605300513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79479889 (or 79479886 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 610312605300513 in words is "six hundred ten trillion, three hundred twelve billion, six hundred five million, three hundred thousand, five hundred thirteen".