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2813563601 is a prime number
BaseRepresentation
bin1010011110110011…
…1001001011010001
321021002012211200022
42213230321023101
521230233013401
61143104233225
7126502616222
oct24754711321
97232184608
102813563601
111214201a82
1266630b815
1335ab98b44
141c9955249
1511701871b
hexa7b392d1

2813563601 has 2 divisors, whose sum is σ = 2813563602. Its totient is φ = 2813563600.

The previous prime is 2813563589. The next prime is 2813563607. The reversal of 2813563601 is 1063653182.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2693091025 + 120472576 = 51895^2 + 10976^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2813563601 is a prime.

It is a super-2 number, since 2×28135636012 = 15832280273744174402, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2813563607) 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, 1406781800 + 1406781801.

It is an arithmetic number, because the mean of its divisors is an integer number (1406781801).

Almost surely, 22813563601 is an apocalyptic number.

It is an amenable number.

2813563601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2813563601 is an equidigital number, since it uses as much as digits as its factorization.

2813563601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 2813563601 is about 53043.0353675202. The cubic root of 2813563601 is about 1411.7319563384.

The spelling of 2813563601 in words is "two billion, eight hundred thirteen million, five hundred sixty-three thousand, six hundred one".