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252805537 is a prime number
BaseRepresentation
bin11110001000110…
…00000110100001
3122121200212000001
433010120012201
51004204234122
641030300001
76156545245
oct1704300641
9577625001
10252805537
1111a77a5a6
12707b7601
13404b569a
142580a425
15172da527
hexf1181a1

252805537 has 2 divisors, whose sum is σ = 252805538. Its totient is φ = 252805536.

The previous prime is 252805519. The next prime is 252805541. The reversal of 252805537 is 735508252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 243859456 + 8946081 = 15616^2 + 2991^2 .

It is a cyclic number.

It is not a de Polignac number, because 252805537 - 211 = 252803489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 252805496 and 252805505.

It is not a weakly prime, because it can be changed into another prime (252805547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126402768 + 126402769.

It is an arithmetic number, because the mean of its divisors is an integer number (126402769).

Almost surely, 2252805537 is an apocalyptic number.

It is an amenable number.

252805537 is a deficient number, since it is larger than the sum of its proper divisors (1).

252805537 is an equidigital number, since it uses as much as digits as its factorization.

252805537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84000, while the sum is 37.

The square root of 252805537 is about 15899.8596534686. The cubic root of 252805537 is about 632.3082679021.

The spelling of 252805537 in words is "two hundred fifty-two million, eight hundred five thousand, five hundred thirty-seven".