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2505005000 = 2354501001
BaseRepresentation
bin1001010101001111…
…0101011111001000
320110120121102211222
42111103311133020
520112240130000
61052322541212
7116035122401
oct22523653710
96416542758
102505005000
111076012373
1259ab07808
1330bc925a4
1419a9949a8
15e9db8a85
hex954f57c8

2505005000 has 40 divisors (see below), whose sum is σ = 5869238430. Its totient is φ = 1002000000.

The previous prime is 2505004993. The next prime is 2505005039. The reversal of 2505005000 is 5005052.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 195049156 + 2309955844 = 13966^2 + 48062^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 2505005000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 245501 + ... + 255500.

Almost surely, 22505005000 is an apocalyptic number.

2505005000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505005000 is an abundant number, since it is smaller than the sum of its proper divisors (3364233430).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2505005000 is an equidigital number, since it uses as much as digits as its factorization.

2505005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501027 (or 501008 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 17.

The square root of 2505005000 is about 50050.0249750187. The cubic root of 2505005000 is about 1358.1139152359.

The spelling of 2505005000 in words is "two billion, five hundred five million, five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 501001 1002002 2004004 2505005 4008008 5010010 10020020 12525025 20040040 25050050 50100100 62625125 100200200 125250250 250500500 313125625 501001000 626251250 1252502500 2505005000