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54005767201 is a prime number
BaseRepresentation
bin110010010010111111…
…101001110000100001
312011101202101020012001
4302102333221300201
51341100434022301
640450535004001
73621212306221
oct622277516041
9164352336161
1054005767201
11209a3936261
12a572509601
135128930489
142884746081
1516113a8c01
hexc92fe9c21

54005767201 has 2 divisors, whose sum is σ = 54005767202. Its totient is φ = 54005767200.

The previous prime is 54005767199. The next prime is 54005767217. The reversal of 54005767201 is 10276750045.

54005767201 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., 32842500625 + 21163266576 = 181225^2 + 145476^2 .

It is a cyclic number.

It is not a de Polignac number, because 54005767201 - 21 = 54005767199 is a prime.

Together with 54005767199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (54005767241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27002883600 + 27002883601.

It is an arithmetic number, because the mean of its divisors is an integer number (27002883601).

Almost surely, 254005767201 is an apocalyptic number.

It is an amenable number.

54005767201 is a deficient number, since it is larger than the sum of its proper divisors (1).

54005767201 is an equidigital number, since it uses as much as digits as its factorization.

54005767201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 58800, while the sum is 37.

The spelling of 54005767201 in words is "fifty-four billion, five million, seven hundred sixty-seven thousand, two hundred one".