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2125907125 = 531031631013
BaseRepresentation
bin111111010110110…
…1100010010110101
312111011021021022221
41332231230102311
513323213012000
6550541322341
7103452624646
oct17655542265
95434237287
102125907125
119a1023541
124b3b663b1
1327b58bc14
141624b16cd
15c698361a
hex7eb6c4b5

2125907125 has 32 divisors (see below), whose sum is σ = 2697986304. Its totient is φ = 1672228800.

The previous prime is 2125907123. The next prime is 2125907129. The reversal of 2125907125 is 5217095212.

It is not a de Polignac number, because 2125907125 - 21 = 2125907123 is a prime.

It is a super-2 number, since 2×21259071252 = 9038962208251531250, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125907123) 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 in 31 ways as a sum of consecutive naturals, for example, 2098119 + ... + 2099131.

It is an arithmetic number, because the mean of its divisors is an integer number (84312072).

Almost surely, 22125907125 is an apocalyptic number.

2125907125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2125907125 is a deficient number, since it is larger than the sum of its proper divisors (572079179).

2125907125 is a wasteful number, since it uses less digits than its factorization.

2125907125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 34.

The square root of 2125907125 is about 46107.5603887258. The cubic root of 2125907125 is about 1285.8237084267.

The spelling of 2125907125 in words is "two billion, one hundred twenty-five million, nine hundred seven thousand, one hundred twenty-five".

Divisors: 1 5 25 103 125 163 515 815 1013 2575 4075 5065 12875 16789 20375 25325 83945 104339 126625 165119 419725 521695 825595 2098625 2608475 4127975 13042375 17007257 20639875 85036285 425181425 2125907125