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1089330025 = 5272232412
BaseRepresentation
bin100000011101101…
…1101101101101001
32210220202200212111
41000323131231221
54212332030100
6300032042321
735665103200
oct10073355551
92726680774
101089330025
11509997853
122649933a1
131448b61a4
14a4962237
15659796ba
hex40eddb69

1089330025 has 81 divisors (see below), whose sum is σ = 1683631173. Its totient is φ = 697065600.

The previous prime is 1089330023. The next prime is 1089330031. The reversal of 1089330025 is 5200339801.

It is a happy number.

The square root of 1089330025 is 33005.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 458516569 + 630813456 = 21413^2 + 25116^2 .

It is not a de Polignac number, because 1089330025 - 21 = 1089330023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1089330023) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 26569005 + ... + 26569045.

Almost surely, 21089330025 is an apocalyptic number.

1089330025 is the 33005-th square number.

1089330025 is the 16503-rd centered octagonal number.

It is an amenable number.

1089330025 is a deficient number, since it is larger than the sum of its proper divisors (594301148).

1089330025 is an equidigital number, since it uses as much as digits as its factorization.

1089330025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The cubic root of 1089330025 is about 1028.9315671707.

Adding to 1089330025 its reverse (5200339801), we get a palindrome (6289669826).

The spelling of 1089330025 in words is "one billion, eighty-nine million, three hundred thirty thousand, twenty-five".

Divisors: 1 5 7 23 25 35 41 49 115 161 175 205 245 287 529 575 805 943 1025 1127 1225 1435 1681 2009 2645 3703 4025 4715 5635 6601 7175 8405 10045 11767 13225 18515 21689 23575 25921 28175 33005 38663 42025 46207 50225 58835 82369 92575 108445 129605 151823 165025 193315 231035 270641 294175 411845 542225 648025 759115 889249 966575 1062761 1155175 1353205 1894487 2059225 3795575 4446245 5313805 6224743 6766025 9472435 22231225 26569025 31123715 43573201 47362175 155618575 217866005 1089330025