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2506535325 = 325276723753
BaseRepresentation
bin1001010101100110…
…1011000110011101
320110200111012001200
42111121223012131
520113133112300
61052415430113
7116054125110
oct22531530635
96420435050
102506535325
1110769680a8
1259b525339
1330c3a9cc8
1419ac72577
15ea0bc200
hex9566b19d

2506535325 has 72 divisors (see below), whose sum is σ = 5207636928. Its totient is φ = 1128695040.

The previous prime is 2506535299. The next prime is 2506535329. The reversal of 2506535325 is 5235356052.

It is not a de Polignac number, because 2506535325 - 25 = 2506535293 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2506535325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506535329) 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 71 ways as a sum of consecutive naturals, for example, 93649 + ... + 117401.

Almost surely, 22506535325 is an apocalyptic number.

2506535325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2506535325 is an abundant number, since it is smaller than the sum of its proper divisors (2701101603).

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

2506535325 is a wasteful number, since it uses less digits than its factorization.

2506535325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23843 (or 23835 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The square root of 2506535325 is about 50065.3105952615. The cubic root of 2506535325 is about 1358.3904193538.

The spelling of 2506535325 in words is "two billion, five hundred six million, five hundred thirty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 67 75 105 175 201 225 315 335 469 525 603 1005 1407 1575 1675 2345 3015 4221 5025 7035 11725 15075 21105 23753 35175 71259 105525 118765 166271 213777 356295 498813 593825 831355 1068885 1496439 1591451 1781475 2494065 4156775 4774353 5344425 7482195 7957255 11140157 12470325 14323059 23871765 33420471 37410975 39786275 55700785 71615295 100261413 119358825 167102355 278503925 358076475 501307065 835511775 2506535325