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2125937441 is a prime number
BaseRepresentation
bin111111010110111…
…0011101100100001
312111011022210220202
41332231303230201
513323214444231
6550542114545
7103453112225
oct17655635441
95434283822
102125937441
119a10442a1
124b3b7ba55
1327b59c964
141624bc785
15c698c5cb
hex7eb73b21

2125937441 has 2 divisors, whose sum is σ = 2125937442. Its totient is φ = 2125937440.

The previous prime is 2125937389. The next prime is 2125937461. The reversal of 2125937441 is 1447395212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1184736400 + 941201041 = 34420^2 + 30679^2 .

It is a cyclic number.

It is not a de Polignac number, because 2125937441 - 218 = 2125675297 is a prime.

It is a super-2 number, since 2×21259374412 = 9039220006091256962, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2125937395 and 2125937404.

It is not a weakly prime, because it can be changed into another prime (2125937461) 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, 1062968720 + 1062968721.

It is an arithmetic number, because the mean of its divisors is an integer number (1062968721).

Almost surely, 22125937441 is an apocalyptic number.

It is an amenable number.

2125937441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2125937441 is an equidigital number, since it uses as much as digits as its factorization.

2125937441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 60480, while the sum is 38.

The square root of 2125937441 is about 46107.8891405798. The cubic root of 2125937441 is about 1285.8298204601.

The spelling of 2125937441 in words is "two billion, one hundred twenty-five million, nine hundred thirty-seven thousand, four hundred forty-one".