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13252221513 = 35376173331
BaseRepresentation
bin11000101011110010…
…01101101001001001
31021012120101121100000
430111321031221021
5204120032042023
610031001033213
7646255011216
oct142571155111
937176347300
1013252221513
115690596193
12269a185809
1313327115bb
148da062b0d
15528674243
hex315e4da49

13252221513 has 96 divisors (see below), whose sum is σ = 21069123712. Its totient is φ = 8314099200.

The previous prime is 13252221487. The next prime is 13252221533. The reversal of 13252221513 is 31512225231.

13252221513 is a `hidden beast` number, since 132 + 522 + 2 + 1 + 5 + 1 + 3 = 666.

13252221513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13252221513 - 29 = 13252221001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13252221533) 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 95 ways as a sum of consecutive naturals, for example, 40036758 + ... + 40037088.

Almost surely, 213252221513 is an apocalyptic number.

It is an amenable number.

13252221513 is a deficient number, since it is larger than the sum of its proper divisors (7816902199).

13252221513 is an equidigital number, since it uses as much as digits as its factorization.

13252221513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 505 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

Adding to 13252221513 its reverse (31512225231), we get a palindrome (44764446744).

The spelling of 13252221513 in words is "thirteen billion, two hundred fifty-two million, two hundred twenty-one thousand, five hundred thirteen".

Divisors: 1 3 9 27 37 61 73 81 111 183 219 243 331 333 549 657 993 999 1647 1971 2257 2701 2979 2997 4453 4941 5913 6771 8103 8937 8991 12247 13359 14823 17739 20191 20313 24163 24309 26811 36741 40077 60573 60939 72489 72927 80433 110223 120231 164761 181719 182817 217467 218781 330669 360693 494283 545157 548451 652401 656343 747067 894031 992007 1082079 1473943 1482849 1635471 1957203 2241201 2682093 2976021 4421829 4448547 4906413 5871609 6723603 8046279 13265487 13345641 20170809 24138837 39796461 40036923 54535891 60512427 72416511 119389383 163607673 181537281 217249533 358168149 490823019 1472469057 4417407171 13252221513