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5305131153 = 337293131223
BaseRepresentation
bin1001111000011010…
…11110000010010001
3111200201112120211000
410330031132002101
541331103144103
62234231212213
7245315604450
oct47415360221
914621476730
105305131153
112282676613
121040817069
1366713507a
1438480cb97
15210b2aaa3
hex13c35e091

5305131153 has 64 divisors (see below), whose sum is σ = 9592012800. Its totient is φ = 2832459840.

The previous prime is 5305131133. The next prime is 5305131187. The reversal of 5305131153 is 3511315035.

5305131153 is a `hidden beast` number, since 5 + 30 + 513 + 115 + 3 = 666.

It is not a de Polignac number, because 5305131153 - 29 = 5305130641 is a prime.

It is a super-2 number, since 2×53051311532 = 56288833101062218818, which contains 22 as substring.

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 (5305131133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154300 + ... + 185522.

It is an arithmetic number, because the mean of its divisors is an integer number (149875200).

Almost surely, 25305131153 is an apocalyptic number.

It is an amenable number.

5305131153 is a deficient number, since it is larger than the sum of its proper divisors (4286881647).

5305131153 is a wasteful number, since it uses less digits than its factorization.

5305131153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31299 (or 31293 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 27.

The square root of 5305131153 is about 72836.3312708706. The cubic root of 5305131153 is about 1744.0758760133.

Adding to 5305131153 its reverse (3511315035), we get a palindrome (8816446188).

The spelling of 5305131153 in words is "five billion, three hundred five million, one hundred thirty-one thousand, one hundred fifty-three".

Divisors: 1 3 7 9 21 27 29 31 63 87 93 189 203 217 261 279 609 651 783 837 899 1827 1953 2697 5481 5859 6293 8091 18879 24273 31223 56637 93669 169911 218561 281007 655683 843021 905467 967913 1967049 2716401 2903739 5901147 6338269 6775391 8149203 8711217 19014807 20326173 24447609 26133651 28069477 57044421 60978519 84208431 171133263 182935557 196486339 252625293 589459017 757875879 1768377051 5305131153