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53131353 = 31119101839
BaseRepresentation
bin1100101010101…
…1100001011001
310200222100111220
43022223201121
5102100200403
65134442253
71213415622
oct312534131
9120870456
1053131353
1127a9a410
1215963389
13b013792
1470b0a49
1549e7953
hex32ab859

53131353 has 32 divisors (see below), whose sum is σ = 82252800. Its totient is φ = 30168000.

The previous prime is 53131349. The next prime is 53131363. The reversal of 53131353 is 35313135.

53131353 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 53131353 - 22 = 53131349 is a prime.

It is a super-2 number, since 2×531313532 = 5645881343221218, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53131363) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 62908 + ... + 63746.

It is an arithmetic number, because the mean of its divisors is an integer number (2570400).

Almost surely, 253131353 is an apocalyptic number.

It is an amenable number.

53131353 is a deficient number, since it is larger than the sum of its proper divisors (29121447).

53131353 is a wasteful number, since it uses less digits than its factorization.

53131353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973.

The product of its digits is 2025, while the sum is 24.

The square root of 53131353 is about 7289.1256677327. The cubic root of 53131353 is about 375.9386335077.

Adding to 53131353 its reverse (35313135), we get a palindrome (88444488).

It can be divided in two parts, 5313 and 1353, that added together give a palindrome (6666).

The spelling of 53131353 in words is "fifty-three million, one hundred thirty-one thousand, three hundred fifty-three".

Divisors: 1 3 11 19 33 57 101 209 303 627 839 1111 1919 2517 3333 5757 9229 15941 21109 27687 47823 63327 84739 175351 254217 526053 932129 1610041 2796387 4830123 17710451 53131353