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2754032513 is a prime number
BaseRepresentation
bin1010010000100111…
…0011001110000001
321002221012100101012
42210021303032001
521120013020023
61133140250305
7125150614211
oct24411631601
97087170335
102754032513
111193641431
1264a3a0995
1334b75444b
141c1a9a241
15111ba9978
hexa4273381

2754032513 has 2 divisors, whose sum is σ = 2754032514. Its totient is φ = 2754032512.

The previous prime is 2754032461. The next prime is 2754032537. The reversal of 2754032513 is 3152304572.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2740731904 + 13300609 = 52352^2 + 3647^2 .

It is a cyclic number.

It is not a de Polignac number, because 2754032513 - 214 = 2754016129 is a prime.

It is a super-2 number, since 2×27540325132 = 15169390165322190338, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2754032513.

It is not a weakly prime, because it can be changed into another prime (2754032543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1377016256 + 1377016257.

It is an arithmetic number, because the mean of its divisors is an integer number (1377016257).

Almost surely, 22754032513 is an apocalyptic number.

It is an amenable number.

2754032513 is a deficient number, since it is larger than the sum of its proper divisors (1).

2754032513 is an equidigital number, since it uses as much as digits as its factorization.

2754032513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 2754032513 is about 52478.8768267767. The cubic root of 2754032513 is about 1401.7041345133.

The spelling of 2754032513 in words is "two billion, seven hundred fifty-four million, thirty-two thousand, five hundred thirteen".