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13132014025 = 52132412432
BaseRepresentation
bin11000011101011101…
…01010000111001001
31020220012012102122211
430032232222013021
5203343243422100
610011024345121
7643265164114
oct141656520711
936805172584
1013132014025
115629752559
122665a751a1
131313844100
148c80d157b
1551cd2c1ba
hex30ebaa1c9

13132014025 has 81 divisors (see below), whose sum is σ = 18503278047. Its totient is φ = 9240940800.

The previous prime is 13132014023. The next prime is 13132014043. The reversal of 13132014025 is 52041023131.

It is a happy number.

The square root of 13132014025 is 114595.

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

13132014025 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 13 ways, for example, as 11900846281 + 1231167744 = 109091^2 + 35088^2 .

It is not a de Polignac number, because 13132014025 - 21 = 13132014023 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13132013987 and 13132014005.

It is not an unprimeable number, because it can be changed into a prime (13132014023) 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, 305395654 + ... + 305395696.

Almost surely, 213132014025 is an apocalyptic number.

13132014025 is the 114595-th square number.

13132014025 is the 57298-th centered octagonal number.

It is an amenable number.

13132014025 is a deficient number, since it is larger than the sum of its proper divisors (5371264022).

13132014025 is an equidigital number, since it uses as much as digits as its factorization.

13132014025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 13132014025 its reverse (52041023131), we get a palindrome (65173037156).

The spelling of 13132014025 in words is "thirteen billion, one hundred thirty-two million, fourteen thousand, twenty-five".

Divisors: 1 5 13 25 41 43 65 169 205 215 325 533 559 845 1025 1075 1681 1763 1849 2665 2795 4225 6929 7267 8405 8815 9245 13325 13975 21853 22919 24037 34645 36335 42025 44075 46225 72283 75809 109265 114595 120185 173225 181675 284089 297947 312481 361415 379045 546325 572975 600925 939679 985517 1420445 1489735 1562405 1807075 1895225 3108169 4698395 4927585 7102225 7448675 7812025 12215827 12811721 15540845 23491975 24637925 40406197 61079135 64058605 77704225 202030985 305395675 320293025 525280561 1010154925 2626402805 13132014025