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5005312525 = 52732742637
BaseRepresentation
bin1001010100101011…
…10000001000001101
3110220211101012222101
410222111300020031
540222330000100
62144401115101
7235015311613
oct45225601015
913824335871
105005312525
112139406424
12b78328a91
13619c9b9b5
14356a856b3
151e465586a
hex12a57020d

5005312525 has 12 divisors (see below), whose sum is σ = 6291611572. Its totient is φ = 3949395840.

The previous prime is 5005312511. The next prime is 5005312537. The reversal of 5005312525 is 5252135005.

It can be written as a sum of positive squares in 6 ways, for example, as 17280649 + 4988031876 = 4157^2 + 70626^2 .

It is not a de Polignac number, because 5005312525 - 25 = 5005312493 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5005312493 and 5005312502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1369494 + ... + 1373143.

Almost surely, 25005312525 is an apocalyptic number.

It is an amenable number.

5005312525 is a deficient number, since it is larger than the sum of its proper divisors (1286299047).

5005312525 is a wasteful number, since it uses less digits than its factorization.

5005312525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742720 (or 2742715 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 28.

The square root of 5005312525 is about 70748.2333701697. The cubic root of 5005312525 is about 1710.5813516431.

It can be divided in two parts, 500 and 5312525, that added together give a square (5313025 = 23052).

The spelling of 5005312525 in words is "five billion, five million, three hundred twelve thousand, five hundred twenty-five".

Divisors: 1 5 25 73 365 1825 2742637 13713185 68565925 200212501 1001062505 5005312525