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610616056049 is a prime number
BaseRepresentation
bin10001110001010111000…
…11011001100011110001
32011101002212211120122022
420320223203121203301
540001020202243144
61144302501121225
762054430560516
oct10705343314361
92141085746568
10610616056049
11215a6293263a
129a4120b9215
134577217578c
14217a816d30d
1510d3bd6acee
hex8e2b8d98f1

610616056049 has 2 divisors, whose sum is σ = 610616056050. Its totient is φ = 610616056048.

The previous prime is 610616056003. The next prime is 610616056051. The reversal of 610616056049 is 940650616016.

610616056049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 542774039824 + 67842016225 = 736732^2 + 260465^2 .

It is a cyclic number.

It is not a de Polignac number, because 610616056049 - 212 = 610616051953 is a prime.

Together with 610616056051, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (610616056649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 305308028024 + 305308028025.

It is an arithmetic number, because the mean of its divisors is an integer number (305308028025).

Almost surely, 2610616056049 is an apocalyptic number.

It is an amenable number.

610616056049 is a deficient number, since it is larger than the sum of its proper divisors (1).

610616056049 is an equidigital number, since it uses as much as digits as its factorization.

610616056049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 233280, while the sum is 44.

The spelling of 610616056049 in words is "six hundred ten billion, six hundred sixteen million, fifty-six thousand, forty-nine".