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2523555225 = 32521721972
BaseRepresentation
bin1001011001101010…
…0110010110011001
320111212111212222100
42112122212112121
520132012231400
61054224314013
7116351602602
oct22632462631
96455455870
102523555225
111085532434
125a5172909
13312a88b59
1419d222da9
15eb830100
hex966a6599

2523555225 has 81 divisors (see below), whose sum is σ = 4825985047. Its totient is φ = 1260295680.

The previous prime is 2523555179. The next prime is 2523555277. The reversal of 2523555225 is 5225553252.

The square root of 2523555225 is 50235.

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

2523555225 is a `hidden beast` number, since 2 + 52 + 35 + 552 + 25 = 666.

2523555225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 301401 + 2523253824 = 549^2 + 50232^2 .

It is not a de Polignac number, because 2523555225 - 215 = 2523522457 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 2523555225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12809827 + ... + 12810023.

Almost surely, 22523555225 is an apocalyptic number.

2523555225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2523555225 is the 50235-th square number.

2523555225 is the 25118-th centered octagonal number.

It is an amenable number.

2523555225 is a deficient number, since it is larger than the sum of its proper divisors (2302429822).

2523555225 is a wasteful number, since it uses less digits than its factorization.

2523555225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 222 counting only the distinct ones).

The product of its digits is 150000, while the sum is 36.

The cubic root of 2523555225 is about 1361.4580716426.

Multiplying 2523555225 by its sum of digits (36), we get a square (90847988100 = 3014102).

The spelling of 2523555225 in words is "two billion, five hundred twenty-three million, five hundred fifty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 197 225 255 289 425 591 765 867 985 1275 1445 1773 2601 2955 3349 3825 4335 4925 7225 8865 10047 13005 14775 16745 21675 30141 38809 44325 50235 56933 65025 83725 116427 150705 170799 194045 251175 284665 349281 512397 582135 659753 753525 853995 970225 1423325 1746405 1979259 2561985 2910675 3298765 4269975 5937777 8732025 9896295 11215801 12809925 16493825 29688885 33647403 49481475 56079005 100942209 148444425 168237015 280395025 504711045 841185075 2523555225