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1317327025 = 5272172612
BaseRepresentation
bin100111010000100…
…1101000010110001
310101210210010221211
41032201031002301
510144213431100
6334414520121
744434044400
oct11641150261
93353703854
101317327025
11616662323
12309206041
1317cbc3861
14c6d51637
157a9b41ba
hex4e84d0b1

1317327025 has 81 divisors (see below), whose sum is σ = 2052160227. Its totient is φ = 836236800.

The previous prime is 1317327017. The next prime is 1317327071. The reversal of 1317327025 is 5207237131.

The square root of 1317327025 is 36295.

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 1175049841 + 142277184 = 34279^2 + 11928^2 .

It is not a de Polignac number, because 1317327025 - 23 = 1317327017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 21595495 + ... + 21595555.

Almost surely, 21317327025 is an apocalyptic number.

1317327025 is the 36295-th square number.

1317327025 is the 18148-th centered octagonal number.

It is an amenable number.

1317327025 is a deficient number, since it is larger than the sum of its proper divisors (734833202).

1317327025 is an equidigital number, since it uses as much as digits as its factorization.

1317327025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The cubic root of 1317327025 is about 1096.2203681705.

The spelling of 1317327025 in words is "one billion, three hundred seventeen million, three hundred twenty-seven thousand, twenty-five".

Divisors: 1 5 7 17 25 35 49 61 85 119 175 245 289 305 425 427 595 833 1037 1225 1445 1525 2023 2135 2975 2989 3721 4165 5185 7225 7259 10115 10675 14161 14945 17629 18605 20825 25925 26047 36295 50575 50813 63257 70805 74725 88145 93025 123403 130235 181475 182329 254065 316285 354025 440725 442799 617015 651175 863821 911645 1075369 1270325 1581425 2213995 3085075 3099593 4319105 4558225 5376845 7527583 11069975 15497965 21595525 26884225 37637915 52693081 77489825 188189575 263465405 1317327025