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2565073125 = 3254456013
BaseRepresentation
bin1001100011100011…
…1110100011100101
320121202122012211100
42120320332203211
520223124320000
61102310230313
7120364522206
oct23070764345
96552565740
102565073125
1110a6a0a44a
125b7055399
1331b564564
141a494d5ad
151002d1a00
hex98e3e8e5

2565073125 has 30 divisors (see below), whose sum is σ = 4629910142. Its totient is φ = 1368036000.

The previous prime is 2565073123. The next prime is 2565073127. The reversal of 2565073125 is 5213705652.

2565073125 is a `hidden beast` number, since 2 + 565 + 0 + 73 + 1 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (2565073123) and next prime (2565073127).

It can be written as a sum of positive squares in 5 ways, for example, as 1969761924 + 595311201 = 44382^2 + 24399^2 .

It is not a de Polignac number, because 2565073125 - 21 = 2565073123 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2565073125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565073123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 222382 + ... + 233631.

Almost surely, 22565073125 is an apocalyptic number.

2565073125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2565073125 is a deficient number, since it is larger than the sum of its proper divisors (2064837017).

2565073125 is an equidigital number, since it uses as much as digits as its factorization.

2565073125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456039 (or 456021 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 2565073125 is about 50646.5509684519. The cubic root of 2565073125 is about 1368.8837987675.

Adding to 2565073125 its reverse (5213705652), we get a palindrome (7778778777).

The spelling of 2565073125 in words is "two billion, five hundred sixty-five million, seventy-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 5625 456013 1368039 2280065 4104117 6840195 11400325 20520585 34200975 57001625 102602925 171004875 285008125 513014625 855024375 2565073125