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52513201305 = 32529331121571
BaseRepresentation
bin110000111010000001…
…111101110010011001
312000112201212000200200
4300322001331302121
51330021334420210
640042500052413
73536216563155
oct607201756231
9160481760620
1052513201305
11202a8373424
12a216694109
134c4b641ba6
14278241a065
15157532c0c0
hexc3a07dc99

52513201305 has 48 divisors (see below), whose sum is σ = 94446855360. Its totient is φ = 26959363200.

The previous prime is 52513201283. The next prime is 52513201309. The reversal of 52513201305 is 50310231525.

It is a happy number.

52513201305 is a `hidden beast` number, since 525 + 1 + 3 + 2 + 0 + 130 + 5 = 666.

52513201305 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 52513201305 - 28 = 52513201049 is a prime.

It is a super-2 number, since 2×525132013052 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52513201309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 371170 + ... + 492740.

It is an arithmetic number, because the mean of its divisors is an integer number (1967642820).

Almost surely, 252513201305 is an apocalyptic number.

It is an amenable number.

52513201305 is a deficient number, since it is larger than the sum of its proper divisors (41933654055).

52513201305 is a wasteful number, since it uses less digits than its factorization.

52513201305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121942 (or 121939 counting only the distinct ones).

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

The spelling of 52513201305 in words is "fifty-two billion, five hundred thirteen million, two hundred one thousand, three hundred five".

Divisors: 1 3 5 9 15 29 45 87 145 261 331 435 993 1305 1655 2979 4965 9599 14895 28797 47995 86391 121571 143985 364713 431955 607855 1094139 1823565 3525559 5470695 10576677 17627795 31730031 40240001 52883385 120720003 158650155 201200005 362160009 603600015 1166960029 1810800045 3500880087 5834800145 10502640261 17504400435 52513201305