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6130107025 = 527222372
BaseRepresentation
bin1011011010110001…
…00000001010010001
3120211012212200221221
411231120200022101
5100023301411100
62452141245041
7304624023100
oct55530401221
916735780857
106130107025
112666316159
121230b63781
13769021183
144221da037
1525d28801a
hex16d620291

6130107025 has 27 divisors (see below), whose sum is σ = 8846321169. Its totient is φ = 4201622880.

The previous prime is 6130107017. The next prime is 6130107077. The reversal of 6130107025 is 5207010316.

The square root of 6130107025 is 78295.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 183846481 + 5946260544 = 13559^2 + 77112^2 .

It is not a de Polignac number, because 6130107025 - 23 = 6130107017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 in 26 ways as a sum of consecutive naturals, for example, 2739207 + ... + 2741443.

Almost surely, 26130107025 is an apocalyptic number.

6130107025 is the 78295-th square number.

6130107025 is the 39148-th centered octagonal number.

It is an amenable number.

6130107025 is a deficient number, since it is larger than the sum of its proper divisors (2716214144).

6130107025 is an frugal number, since it uses more digits than its factorization.

6130107025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4498 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The cubic root of 6130107025 is about 1830.1612352587.

Multiplying 6130107025 by its sum of digits (25), we get a square (153252675625 = 3914752).

6130107025 divided by its sum of digits (25) gives a square (245204281 = 156592).

The spelling of 6130107025 in words is "six billion, one hundred thirty million, one hundred seven thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 2237 11185 15659 55925 78295 109613 391475 548065 2740325 5004169 25020845 35029183 125104225 175145915 245204281 875729575 1226021405 6130107025