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252525253000 = 23531931308421
BaseRepresentation
bin1110101100101110101…
…1011001000110001000
3220010210220211000000011
43223023223121012020
513114132431044000
6312001500321304
724146545143256
oct3531353310610
9803726730004
10252525253000
1198105a161a9
1240b36243234
131aa752c0737
14c317d575d6
15687e8822ba
hex3acbad9188

252525253000 has 64 divisors (see below), whose sum is σ = 593971251120. Its totient is φ = 100486656000.

The previous prime is 252525252979. The next prime is 252525253049. The reversal of 252525253000 is 352525252.

252525253000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4001068516 + 248524184484 = 63254^2 + 498522^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461211 + ... + 847210.

Almost surely, 2252525253000 is an apocalyptic number.

252525253000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252525253000 is an abundant number, since it is smaller than the sum of its proper divisors (341445998120).

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

252525253000 is a wasteful number, since it uses less digits than its factorization.

252525253000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308635 (or 1308621 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 31.

Adding to 252525253000 its reverse (352525252), we get a palindrome (252877778252).

The spelling of 252525253000 in words is "two hundred fifty-two billion, five hundred twenty-five million, two hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 193 200 250 386 500 772 965 1000 1544 1930 3860 4825 7720 9650 19300 24125 38600 48250 96500 193000 1308421 2616842 5233684 6542105 10467368 13084210 26168420 32710525 52336840 65421050 130842100 163552625 252525253 261684200 327105250 505050506 654210500 1010101012 1262626265 1308421000 2020202024 2525252530 5050505060 6313131325 10101010120 12626262650 25252525300 31565656625 50505050600 63131313250 126262626500 252525253000