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2505507329 = 131210715919
BaseRepresentation
bin1001010101010111…
…0000001000000001
320110121112221220202
42111111300020001
520112402213304
61052341414545
7116042314043
oct22525601001
96417487822
102505507329
111076325816
1259b10a455
1330c10a120
1419aa85a93
15e9e6781e
hex95570201

2505507329 has 8 divisors (see below), whose sum is σ = 2698631040. Its totient is φ = 2312439696.

The previous prime is 2505507313. The next prime is 2505507337. The reversal of 2505507329 is 9237055052.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2505507329 - 24 = 2505507313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2505507292 and 2505507301.

It is not an unprimeable number, because it can be changed into a prime (2505807329) 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 7 ways as a sum of consecutive naturals, for example, 149432 + ... + 165350.

It is an arithmetic number, because the mean of its divisors is an integer number (337328880).

Almost surely, 22505507329 is an apocalyptic number.

It is an amenable number.

2505507329 is a deficient number, since it is larger than the sum of its proper divisors (193123711).

2505507329 is a wasteful number, since it uses less digits than its factorization.

2505507329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28039.

The product of its (nonzero) digits is 94500, while the sum is 38.

The square root of 2505507329 is about 50055.0429926896. The cubic root of 2505507329 is about 1358.2046900924.

The spelling of 2505507329 in words is "two billion, five hundred five million, five hundred seven thousand, three hundred twenty-nine".

Divisors: 1 13 12107 15919 157391 206947 192731333 2505507329