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2956581601 is a prime number
BaseRepresentation
bin1011000000111001…
…1101101011100001
321122001022220111021
42300032131223201
522023341102401
61205213445441
7133160346301
oct26016355341
97561286437
102956581601
111287a05576
126a61a0881
133816c1a8c
14200943601
151248692a1
hexb039dae1

2956581601 has 2 divisors, whose sum is σ = 2956581602. Its totient is φ = 2956581600.

The previous prime is 2956581599. The next prime is 2956581643. The reversal of 2956581601 is 1061856592.

2956581601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2482430976 + 474150625 = 49824^2 + 21775^2 .

It is a cyclic number.

It is not a de Polignac number, because 2956581601 - 21 = 2956581599 is a prime.

Together with 2956581599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2956581101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1478290800 + 1478290801.

It is an arithmetic number, because the mean of its divisors is an integer number (1478290801).

Almost surely, 22956581601 is an apocalyptic number.

It is an amenable number.

2956581601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2956581601 is an equidigital number, since it uses as much as digits as its factorization.

2956581601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 129600, while the sum is 43.

The square root of 2956581601 is about 54374.4572478659. The cubic root of 2956581601 is about 1435.2579351566.

The spelling of 2956581601 in words is "two billion, nine hundred fifty-six million, five hundred eighty-one thousand, six hundred one".