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13557109225 = 52112292732
BaseRepresentation
bin11001010000001000…
…10001000111101001
31021222211002111122111
430220010101013221
5210231104443400
610121131522321
7656646345532
oct145004210751
937884074574
1013557109225
1158276a8900
1227642b93a1
13138093102a
14928749689
155452eb3ba
hex3281111e9

13557109225 has 81 divisors (see below), whose sum is σ = 19402891599. Its totient is φ = 9389318400.

The previous prime is 13557109219. The next prime is 13557109229. The reversal of 13557109225 is 52290175531.

The square root of 13557109225 is 116435.

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

It can be written as a sum of positive squares in 13 ways, for example, as 7450624489 + 6106484736 = 86317^2 + 78144^2 .

It is not a de Polignac number, because 13557109225 - 29 = 13557108713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13557109229) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 185713789 + ... + 185713861.

Almost surely, 213557109225 is an apocalyptic number.

13557109225 is the 116435-th square number.

13557109225 is the 58218-th centered octagonal number.

It is an amenable number.

13557109225 is a deficient number, since it is larger than the sum of its proper divisors (5845782374).

13557109225 is an equidigital number, since it uses as much as digits as its factorization.

13557109225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 40.

The spelling of 13557109225 in words is "thirteen billion, five hundred fifty-seven million, one hundred nine thousand, two hundred twenty-five".

Divisors: 1 5 11 25 29 55 73 121 145 275 319 365 605 725 803 841 1595 1825 2117 3025 3509 4015 4205 5329 7975 8833 9251 10585 17545 20075 21025 23287 26645 44165 46255 52925 58619 61393 87725 101761 116435 133225 154541 220825 231275 256157 293095 306965 508805 582175 644809 675323 772705 1280785 1465475 1534825 1699951 2544025 3224045 3376615 3863525 4481689 6403925 7428553 8499755 16120225 16883075 18699461 22408445 37142765 42498775 49298579 93497305 112042225 185713825 246492895 467486525 542284369 1232464475 2711421845 13557109225