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2801125753 is a prime number
BaseRepresentation
bin1010011011110101…
…1100100101111001
321020012210221011021
42212331130211321
521214042011003
61141541502441
7126262114246
oct24675344571
97205727137
102801125753
111208187268
12662111a21
1335843277a
141c80385cd
15115dad2bd
hexa6f5c979

2801125753 has 2 divisors, whose sum is σ = 2801125754. Its totient is φ = 2801125752.

The previous prime is 2801125729. The next prime is 2801125757. The reversal of 2801125753 is 3575211082.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1426421824 + 1374703929 = 37768^2 + 37077^2 .

It is a cyclic number.

It is not a de Polignac number, because 2801125753 - 221 = 2799028601 is a prime.

It is not a weakly prime, because it can be changed into another prime (2801125757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1400562876 + 1400562877.

It is an arithmetic number, because the mean of its divisors is an integer number (1400562877).

Almost surely, 22801125753 is an apocalyptic number.

It is an amenable number.

2801125753 is a deficient number, since it is larger than the sum of its proper divisors (1).

2801125753 is an equidigital number, since it uses as much as digits as its factorization.

2801125753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 2801125753 is about 52925.6625182907. The cubic root of 2801125753 is about 1409.6486143818.

The spelling of 2801125753 in words is "two billion, eight hundred one million, one hundred twenty-five thousand, seven hundred fifty-three".