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25252525 = 5273101137
BaseRepresentation
bin110000001010…
…1001010101101
31202111221221201
41200111022231
522431040100
62301125501
7424433344
oct140251255
952457851
1025252525
1113288661
128559891
13530212c
1434d4b5b
15233c36a
hex18152ad

25252525 has 24 divisors (see below), whose sum is σ = 32290344. Its totient is φ = 19584000.

The previous prime is 25252457. The next prime is 25252529. The reversal of 25252525 is 52525252.

It can be written as a sum of positive squares in 12 ways, for example, as 670761 + 24581764 = 819^2 + 4958^2 .

It is not a de Polignac number, because 25252525 - 29 = 25252013 is a prime.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

25252525 is an undulating number in base 10.

25252525 is a modest number, since divided by 252525 gives 25 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 25252493 and 25252502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25252529) by changing a digit.

It is a Kaprekar number, because its square (637690018875625) can be partitioned into two parts whose sum is 25252525.

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 23 ways as a sum of consecutive naturals, for example, 184257 + ... + 184393.

It is an arithmetic number, because the mean of its divisors is an integer number (1345431).

Almost surely, 225252525 is an apocalyptic number.

25252525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

25252525 is a deficient number, since it is larger than the sum of its proper divisors (7037819).

25252525 is a wasteful number, since it uses less digits than its factorization.

25252525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 316 counting only the distinct ones).

The product of its digits is 10000, while the sum is 28.

The square root of 25252525 is about 5025.1890511701. The cubic root of 25252525 is about 293.3829942034.

Adding to 25252525 its reverse (52525252), we get a palindrome (77777777).

It can be divided in two parts, 2525 and 2525, that added together give a triangular number (5050 = T100).

The spelling of 25252525 in words is "twenty-five million, two hundred fifty-two thousand, five hundred twenty-five".

Divisors: 1 5 25 73 101 137 365 505 685 1825 2525 3425 7373 10001 13837 36865 50005 69185 184325 250025 345925 1010101 5050505 25252525