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57066007 is a prime number
BaseRepresentation
bin1101100110110…
…0001000010111
310222101020211211
43121230020113
5104102103012
65355042251
71262024125
oct331541027
9128336754
1057066007
112a237599
1217140387
13ba9068b
147816915
1550236a7
hex366c217

57066007 has 2 divisors, whose sum is σ = 57066008. Its totient is φ = 57066006.

The previous prime is 57065993. The next prime is 57066011. The reversal of 57066007 is 70066075.

57066007 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57066007 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57066007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57066077) 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, 28533003 + 28533004.

It is an arithmetic number, because the mean of its divisors is an integer number (28533004).

Almost surely, 257066007 is an apocalyptic number.

57066007 is a deficient number, since it is larger than the sum of its proper divisors (1).

57066007 is an equidigital number, since it uses as much as digits as its factorization.

57066007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 57066007 is about 7554.2045908223. The cubic root of 57066007 is about 384.9986102159.

The spelling of 57066007 in words is "fifty-seven million, sixty-six thousand, seven".