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53872057 is a prime number
BaseRepresentation
bin1100110110000…
…0010110111001
310202100222120101
43031200112321
5102242401212
65202355401
71222622251
oct315402671
9122328511
1053872057
1128455968
121605bb61
13b212975
147224961
154ae2157
hex33605b9

53872057 has 2 divisors, whose sum is σ = 53872058. Its totient is φ = 53872056.

The previous prime is 53872043. The next prime is 53872061. The reversal of 53872057 is 75027835.

53872057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32444416 + 21427641 = 5696^2 + 4629^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-53872057 is a prime.

It is a super-2 number, since 2×538720572 = 5804397050822498, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (53872067) 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, 26936028 + 26936029.

It is an arithmetic number, because the mean of its divisors is an integer number (26936029).

Almost surely, 253872057 is an apocalyptic number.

It is an amenable number.

53872057 is a deficient number, since it is larger than the sum of its proper divisors (1).

53872057 is an equidigital number, since it uses as much as digits as its factorization.

53872057 is an odious number, because the sum of its binary digits is odd.

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

The square root of 53872057 is about 7339.7586472581. The cubic root of 53872057 is about 377.6775639381.

The spelling of 53872057 in words is "fifty-three million, eight hundred seventy-two thousand, fifty-seven".