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55957541 is a prime number
BaseRepresentation
bin1101010101110…
…1100000100101
310220021221022112
43111131200211
5103311120131
65315210405
71246426343
oct325354045
9126257275
1055957541
112964a802
12168a6a05
13b792c93
147608993
154da502b
hex355d825

55957541 has 2 divisors, whose sum is σ = 55957542. Its totient is φ = 55957540.

The previous prime is 55957519. The next prime is 55957607. The reversal of 55957541 is 14575955.

55957541 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., 32821441 + 23136100 = 5729^2 + 4810^2 .

It is a cyclic number.

It is not a de Polignac number, because 55957541 - 26 = 55957477 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (55956541) 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, 27978770 + 27978771.

It is an arithmetic number, because the mean of its divisors is an integer number (27978771).

Almost surely, 255957541 is an apocalyptic number.

It is an amenable number.

55957541 is a deficient number, since it is larger than the sum of its proper divisors (1).

55957541 is an equidigital number, since it uses as much as digits as its factorization.

55957541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 157500, while the sum is 41.

The square root of 55957541 is about 7480.4773243423. The cubic root of 55957541 is about 382.4895202677.

The spelling of 55957541 in words is "fifty-five million, nine hundred fifty-seven thousand, five hundred forty-one".