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5256996525 = 3352112273119
BaseRepresentation
bin1001110010101011…
…10110011010101101
3111120100222002112000
410321111312122231
541231242342100
62225351402513
7244162506324
oct47125663255
914510862460
105256996525
11225848a330
121028683439
1365a180a41
1437c27d0bb
1520b7bd900
hex1395766ad

5256996525 has 96 divisors (see below), whose sum is σ = 10585036800. Its totient is φ = 2536804800.

The previous prime is 5256996497. The next prime is 5256996527.

5256996525 is a `hidden beast` number, since 5 + 25 + 6 + 9 + 96 + 525 = 666.

5256996525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5256996525 - 225 = 5223442093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5256996527) 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 95 ways as a sum of consecutive naturals, for example, 1683916 + ... + 1687034.

It is an arithmetic number, because the mean of its divisors is an integer number (110260800).

Almost surely, 25256996525 is an apocalyptic number.

5256996525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5256996525 is an abundant number, since it is smaller than the sum of its proper divisors (5328040275).

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

5256996525 is a wasteful number, since it uses less digits than its factorization.

5256996525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3365 counting only the distinct ones).

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

The square root of 5256996525 is about 72505.1482654853. The cubic root of 5256996525 is about 1738.7850466255.

The spelling of 5256996525 in words is "five billion, two hundred fifty-six million, nine hundred ninety-six thousand, five hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 227 275 297 495 675 681 825 1135 1485 2043 2475 2497 3119 3405 5675 6129 7425 7491 9357 10215 12485 15595 17025 22473 28071 30645 34309 37455 46785 51075 62425 67419 77975 84213 102927 112365 140355 153225 171545 187275 233925 308781 337095 421065 514635 561825 701775 708013 857725 926343 1543905 1685475 2105325 2124039 2573175 3540065 4631715 6372117 7719525 7788143 10620195 17700325 19116351 23158575 23364429 31860585 38940715 53100975 70093287 95581755 116822145 159302925 194703575 210279861 350466435 477908775 584110725 1051399305 1752332175 5256996525