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2513784349 is a prime number
BaseRepresentation
bin1001010111010101…
…0100111000011101
320111012010110212001
42111311110320131
520122012044344
61053235042301
7116202546226
oct22565247035
96435113761
102513784349
11107aa6942a
125a1a40391
13310a4767b
1419bbdc24d
15eaa4eed4
hex95d54e1d

2513784349 has 2 divisors, whose sum is σ = 2513784350. Its totient is φ = 2513784348.

The previous prime is 2513784313. The next prime is 2513784401. The reversal of 2513784349 is 9434873152.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2156952249 + 356832100 = 46443^2 + 18890^2 .

It is a cyclic number.

It is not a de Polignac number, because 2513784349 - 213 = 2513776157 is a prime.

It is a super-2 number, since 2×25137843492 = 12638223506554707602, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2513784299 and 2513784308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2513781349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1256892174 + 1256892175.

It is an arithmetic number, because the mean of its divisors is an integer number (1256892175).

Almost surely, 22513784349 is an apocalyptic number.

It is an amenable number.

2513784349 is a deficient number, since it is larger than the sum of its proper divisors (1).

2513784349 is an equidigital number, since it uses as much as digits as its factorization.

2513784349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 725760, while the sum is 46.

The square root of 2513784349 is about 50137.6540037525. The cubic root of 2513784349 is about 1359.6986697238.

The spelling of 2513784349 in words is "two billion, five hundred thirteen million, seven hundred eighty-four thousand, three hundred forty-nine".