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2557440001 is a prime number
BaseRepresentation
bin1001100001101111…
…0111000000000001
320121020021102011001
42120123313000001
520214201040001
61101434452001
7120242611204
oct23033670001
96536242131
102557440001
1110a2676586
125b4594001
13319ac110c
141a392393b
15ee7c5001
hex986f7001

2557440001 has 2 divisors, whose sum is σ = 2557440002. Its totient is φ = 2557440000.

The previous prime is 2557439977. The next prime is 2557440031. The reversal of 2557440001 is 1000447552.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1755191025 + 802248976 = 41895^2 + 28324^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2557440001 is a prime.

It is not a weakly prime, because it can be changed into another prime (2557440031) 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, 1278720000 + 1278720001.

It is an arithmetic number, because the mean of its divisors is an integer number (1278720001).

Almost surely, 22557440001 is an apocalyptic number.

It is an amenable number.

2557440001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2557440001 is an equidigital number, since it uses as much as digits as its factorization.

2557440001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 2557440001 is about 50571.1380235802. The cubic root of 2557440001 is about 1367.5246118515.

Adding to 2557440001 its reverse (1000447552), we get a palindrome (3557887553).

The spelling of 2557440001 in words is "two billion, five hundred fifty-seven million, four hundred forty thousand, one".