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1053523335125 = 53269239313093
BaseRepresentation
bin11110101010010101110…
…00100101011111010101
310201201022212000120021102
433111022320211133111
5114230103433211000
62123552033155445
7136054201410602
oct17251270453725
93651285016242
101053523335125
11376884503858
1215021a9bbb85
1378467c85341
1438dc2a8b6a9
151c6105c73d5
hexf54ae257d5

1053523335125 has 32 divisors (see below), whose sum is σ = 1320337156320. Its totient is φ = 839270515200.

The previous prime is 1053523335119. The next prime is 1053523335127. The reversal of 1053523335125 is 5215333253501.

Adding to 1053523335125 its reverse (5215333253501), we get a palindrome (6268856588626).

It can be written as a sum of positive squares in 16 ways, for example, as 1001572617796 + 51950717329 = 1000786^2 + 227927^2 .

It is not a de Polignac number, because 1053523335125 - 26 = 1053523335061 is a prime.

It is a super-2 number, since 2×10535233351252 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053523335127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80458079 + ... + 80471171.

It is an arithmetic number, because the mean of its divisors is an integer number (41260536135).

Almost surely, 21053523335125 is an apocalyptic number.

It is an amenable number.

1053523335125 is a deficient number, since it is larger than the sum of its proper divisors (266813821195).

1053523335125 is a wasteful number, since it uses less digits than its factorization.

1053523335125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15770 (or 15760 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 38.

The spelling of 1053523335125 in words is "one trillion, fifty-three billion, five hundred twenty-three million, three hundred thirty-five thousand, one hundred twenty-five".

Divisors: 1 5 25 125 269 1345 2393 6725 11965 13093 33625 59825 65465 299125 327325 643717 1636625 3218585 3522017 16092925 17610085 31331549 80464625 88050425 156657745 440252125 783288725 3916443625 8428186681 42140933405 210704667025 1053523335125