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2593382401 is a prime number
BaseRepresentation
bin1001101010010011…
…1110000000000001
320200201220110212001
42122210332000001
520302401214101
61105201104001
7121160246431
oct23244760001
96621813761
102593382401
111110995645
12604628001
13324396acc
141a85dc2c1
15102a24901
hex9a93e001

2593382401 has 2 divisors, whose sum is σ = 2593382402. Its totient is φ = 2593382400.

The previous prime is 2593382387. The next prime is 2593382437. The reversal of 2593382401 is 1042833952.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1764000000 + 829382401 = 42000^2 + 28799^2 .

It is a cyclic number.

It is not a de Polignac number, because 2593382401 - 219 = 2592858113 is a prime.

It is not a weakly prime, because it can be changed into another prime (2593382461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1296691200 + 1296691201.

It is an arithmetic number, because the mean of its divisors is an integer number (1296691201).

Almost surely, 22593382401 is an apocalyptic number.

It is an amenable number.

2593382401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2593382401 is an equidigital number, since it uses as much as digits as its factorization.

2593382401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 2593382401 is about 50925.2628957377. The cubic root of 2593382401 is about 1373.9012535442.

The spelling of 2593382401 in words is "two billion, five hundred ninety-three million, three hundred eighty-two thousand, four hundred one".