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2553361025 = 52325331397
BaseRepresentation
bin1001100000110001…
…0011001010000001
320120221121011211212
42120030103022001
520212130023100
61101211215505
7120163132145
oct23014231201
96527534755
102553361025
1110a033aa26
125b3147595
13318cc3617
141a3181225
15ee26b635
hex98313281

2553361025 has 12 divisors (see below), whose sum is σ = 3167241852. Its totient is φ = 2041995840.

The previous prime is 2553361021. The next prime is 2553361033. The reversal of 2553361025 is 5201633552.

It can be written as a sum of positive squares in 6 ways, for example, as 79691329 + 2473669696 = 8927^2 + 49736^2 .

It is not a de Polignac number, because 2553361025 - 22 = 2553361021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2553360982 and 2553361000.

It is not an unprimeable number, because it can be changed into a prime (2553361021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65627 + ... + 97023.

It is an arithmetic number, because the mean of its divisors is an integer number (263936821).

Almost surely, 22553361025 is an apocalyptic number.

2553361025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2553361025 is a deficient number, since it is larger than the sum of its proper divisors (613880827).

2553361025 is a wasteful number, since it uses less digits than its factorization.

2553361025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34660 (or 34655 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The square root of 2553361025 is about 50530.7928396141. The cubic root of 2553361025 is about 1366.7971828226.

Adding to 2553361025 its reverse (5201633552), we get a palindrome (7754994577).

The spelling of 2553361025 in words is "two billion, five hundred fifty-three million, three hundred sixty-one thousand, twenty-five".

Divisors: 1 5 25 3253 16265 31397 81325 156985 784925 102134441 510672205 2553361025