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52557601 is a prime number
BaseRepresentation
bin1100100001111…
…1011100100001
310122220012110211
43020133130201
5101423320401
65114254121
71205506105
oct310373441
9118805424
1052557601
1127738338
1215727341
13ab72595
146da1905
154932951
hex321f721

52557601 has 2 divisors, whose sum is σ = 52557602. Its totient is φ = 52557600.

The previous prime is 52557559. The next prime is 52557611. The reversal of 52557601 is 10675525.

52557601 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., 30514576 + 22043025 = 5524^2 + 4695^2 .

It is a cyclic number.

It is not a de Polignac number, because 52557601 - 27 = 52557473 is a prime.

It is not a weakly prime, because it can be changed into another prime (52557611) 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, 26278800 + 26278801.

It is an arithmetic number, because the mean of its divisors is an integer number (26278801).

Almost surely, 252557601 is an apocalyptic number.

It is an amenable number.

52557601 is a deficient number, since it is larger than the sum of its proper divisors (1).

52557601 is an equidigital number, since it uses as much as digits as its factorization.

52557601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10500, while the sum is 31.

The square root of 52557601 is about 7249.6621300582. The cubic root of 52557601 is about 374.5805110672.

The spelling of 52557601 in words is "fifty-two million, five hundred fifty-seven thousand, six hundred one".