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2585243153 is a prime number
BaseRepresentation
bin1001101000010111…
…1010111000010001
320200011120221220102
42122011322320101
520243310240103
61104310422145
7121031130023
oct23205727021
96604527812
102585243153
111107336499
12601961955
133227a719c
141a74c0013
15101e67e88
hex9a17ae11

2585243153 has 2 divisors, whose sum is σ = 2585243154. Its totient is φ = 2585243152.

The previous prime is 2585243149. The next prime is 2585243201. The reversal of 2585243153 is 3513425852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1459774849 + 1125468304 = 38207^2 + 33548^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585243153 - 22 = 2585243149 is a prime.

It is not a weakly prime, because it can be changed into another prime (2585243123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292621576 + 1292621577.

It is an arithmetic number, because the mean of its divisors is an integer number (1292621577).

Almost surely, 22585243153 is an apocalyptic number.

It is an amenable number.

2585243153 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585243153 is an equidigital number, since it uses as much as digits as its factorization.

2585243153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 144000, while the sum is 38.

The square root of 2585243153 is about 50845.2864383711. The cubic root of 2585243153 is about 1372.4624321643.

The spelling of 2585243153 in words is "two billion, five hundred eighty-five million, two hundred forty-three thousand, one hundred fifty-three".