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1305531225 = 3252411371033
BaseRepresentation
bin100110111010000…
…1101001101011001
310100222120212011100
41031310031031121
510133203444400
6333314022013
744231555325
oct11564151531
93328525140
101305531225
1160aa35a29
12305277909
1317a6237ab
14c5560985
1579934100
hex4dd0d359

1305531225 has 72 divisors (see below), whose sum is σ = 2415204792. Its totient is φ = 673689600.

The previous prime is 1305531223. The next prime is 1305531257. The reversal of 1305531225 is 5221355031.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 271458576 + 1034072649 = 16476^2 + 32157^2 .

It is not a de Polignac number, because 1305531225 - 21 = 1305531223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1305531223) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1263309 + ... + 1264341.

It is an arithmetic number, because the mean of its divisors is an integer number (33544511).

Almost surely, 21305531225 is an apocalyptic number.

1305531225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1305531225 is a deficient number, since it is larger than the sum of its proper divisors (1109673567).

1305531225 is a wasteful number, since it uses less digits than its factorization.

1305531225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1305531225 is about 36132.1356274439. The cubic root of 1305531225 is about 1092.9385748808.

Adding to 1305531225 its reverse (5221355031), we get a palindrome (6526886256).

It can be divided in two parts, 130 and 5531225, that added together give a palindrome (5531355).

The spelling of 1305531225 in words is "one billion, three hundred five million, five hundred thirty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 137 205 225 369 411 615 685 1025 1033 1233 1845 2055 3075 3099 3425 5165 5617 6165 9225 9297 10275 15495 16851 25825 28085 30825 42353 46485 50553 77475 84255 127059 140425 141521 211765 232425 252765 381177 421275 424563 635295 707605 1058825 1263825 1273689 1905885 2122815 3176475 3538025 5802361 6368445 9529425 10614075 17407083 29011805 31842225 52221249 87035415 145059025 261106245 435177075 1305531225