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4013531125 = 53294332557
BaseRepresentation
bin1110111100111001…
…1001111111110101
3101100201011111122221
43233032121333311
531204430444000
61502131522341
7201313310632
oct35716317765
911321144587
104013531125
11177a59637a
129401593b1
134bc67b5b6
142a1077189
1518754961a
hexef399ff5

4013531125 has 32 divisors (see below), whose sum is σ = 5195604960. Its totient is φ = 3091737600.

The previous prime is 4013531111. The next prime is 4013531141. The reversal of 4013531125 is 5211353104.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 3598920081 + 414611044 = 59991^2 + 20362^2 .

It is not a de Polignac number, because 4013531125 - 211 = 4013529077 is a prime.

It is a super-2 number, since 2×40135311252 = 32216864182687531250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 4013531125.

It is a congruent number.

It is an unprimeable number.

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, 1568347 + ... + 1570903.

It is an arithmetic number, because the mean of its divisors is an integer number (162362655).

Almost surely, 24013531125 is an apocalyptic number.

It is an amenable number.

4013531125 is a deficient number, since it is larger than the sum of its proper divisors (1182073835).

4013531125 is a wasteful number, since it uses less digits than its factorization.

4013531125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 4013531125 is about 63352.4358253098. The cubic root of 4013531125 is about 1589.1889809286.

Adding to 4013531125 its reverse (5211353104), we get a palindrome (9224884229).

The spelling of 4013531125 in words is "four billion, thirteen million, five hundred thirty-one thousand, one hundred twenty-five".

Divisors: 1 5 25 29 125 145 433 725 2165 2557 3625 10825 12557 12785 54125 62785 63925 74153 313925 319625 370765 1107181 1569625 1853825 5535905 9269125 27679525 32108249 138397625 160541245 802706225 4013531125