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2957960813 is a prime number
BaseRepresentation
bin1011000001001110…
…1110011001101101
321122010220222102012
42300103232121231
522024214221223
61205303211005
7133205152313
oct26023563155
97563828365
102957960813
111288767815
126a6746a65
13381a85792
14200bc20b3
15124a3cc78
hexb04ee66d

2957960813 has 2 divisors, whose sum is σ = 2957960814. Its totient is φ = 2957960812.

The previous prime is 2957960801. The next prime is 2957960827. The reversal of 2957960813 is 3180697592.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2911897444 + 46063369 = 53962^2 + 6787^2 .

It is a cyclic number.

It is not a de Polignac number, because 2957960813 - 210 = 2957959789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2957960833) 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, 1478980406 + 1478980407.

It is an arithmetic number, because the mean of its divisors is an integer number (1478980407).

Almost surely, 22957960813 is an apocalyptic number.

It is an amenable number.

2957960813 is a deficient number, since it is larger than the sum of its proper divisors (1).

2957960813 is an equidigital number, since it uses as much as digits as its factorization.

2957960813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 816480, while the sum is 50.

The square root of 2957960813 is about 54387.1383049338. The cubic root of 2957960813 is about 1435.4810776802.

The spelling of 2957960813 in words is "two billion, nine hundred fifty-seven million, nine hundred sixty thousand, eight hundred thirteen".