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5295665925 = 3352115313457
BaseRepresentation
bin1001110111010010…
…10111001100000101
3111200001201200222000
410323221113030011
541321142302200
62233252255513
7245142263154
oct47351271405
914601650860
105295665925
1122782a1210
121039611599
1366519ca44
1438346759b
1520edab300
hex13ba57305

5295665925 has 96 divisors (see below), whose sum is σ = 10813772160. Its totient is φ = 2518963200.

The previous prime is 5295665917. The next prime is 5295665927.

5295665925 is a `hidden beast` number, since 5 + 2 + 9 + 566 + 59 + 25 = 666.

5295665925 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5295665925 - 23 = 5295665917 is a prime.

It is a super-2 number, since 2×52956659252 = 56088155178412211250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5295665927) 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 95 ways as a sum of consecutive naturals, for example, 386797 + ... + 400253.

It is an arithmetic number, because the mean of its divisors is an integer number (112643460).

Almost surely, 25295665925 is an apocalyptic number.

5295665925 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5295665925 is an abundant number, since it is smaller than the sum of its proper divisors (5518106235).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5295665925 is a wasteful number, since it uses less digits than its factorization.

5295665925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13540 (or 13529 counting only the distinct ones).

The product of its digits is 7290000, while the sum is 54.

The square root of 5295665925 is about 72771.3262556070. The cubic root of 5295665925 is about 1743.0380189657.

The spelling of 5295665925 in words is "five billion, two hundred ninety-five million, six hundred sixty-five thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 53 55 75 99 135 159 165 225 265 275 297 477 495 583 675 795 825 1325 1431 1485 1749 2385 2475 2915 3975 5247 7155 7425 8745 11925 13457 14575 15741 26235 35775 40371 43725 67285 78705 121113 131175 148027 201855 336425 363339 393525 444081 605565 713221 740135 1009275 1332243 1816695 2139663 2220405 3027825 3566105 3700675 3996729 6418989 6661215 7845431 9083475 10698315 11102025 17830525 19256967 19983645 23536293 32094945 33306075 39227155 53491575 70608879 96284835 99918225 117681465 160474725 196135775 211826637 353044395 481424175 588407325 1059133185 1765221975 5295665925