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536457601 is a prime number
BaseRepresentation
bin11111111110011…
…011000110000001
31101101102212111001
4133332123012001
52044313120401
6125122052001
716202546221
oct3776330601
91341385431
10536457601
112558a8599
1212b7aa001
13871ab444
1451366081
153216a601
hex1ff9b181

536457601 has 2 divisors, whose sum is σ = 536457602. Its totient is φ = 536457600.

The previous prime is 536457599. The next prime is 536457617. The reversal of 536457601 is 106754635.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 535459600 + 998001 = 23140^2 + 999^2 .

It is a cyclic number.

It is not a de Polignac number, because 536457601 - 21 = 536457599 is a prime.

Together with 536457599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (536457641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 268228800 + 268228801.

It is an arithmetic number, because the mean of its divisors is an integer number (268228801).

Almost surely, 2536457601 is an apocalyptic number.

It is an amenable number.

536457601 is a deficient number, since it is larger than the sum of its proper divisors (1).

536457601 is an equidigital number, since it uses as much as digits as its factorization.

536457601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 536457601 is about 23161.5543735735. The cubic root of 536457601 is about 812.5407195687.

The spelling of 536457601 in words is "five hundred thirty-six million, four hundred fifty-seven thousand, six hundred one".