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540124325 = 52135331357
BaseRepresentation
bin100000001100011…
…010010010100101
31101122100011021122
4200030122102211
52101232434300
6125332423325
716245660326
oct4014322245
91348304248
10540124325
11257982444
12130a77b45
1387b933c0
1451a3c44d
1532641c85
hex2031a4a5

540124325 has 24 divisors (see below), whose sum is σ = 734906088. Its totient is φ = 391322880.

The previous prime is 540124313. The next prime is 540124363. The reversal of 540124325 is 523421045.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 117657409 + 422466916 = 10847^2 + 20554^2 .

It is not a de Polignac number, because 540124325 - 24 = 540124309 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 540124294 and 540124303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1547 + ... + 32903.

It is an arithmetic number, because the mean of its divisors is an integer number (30621087).

Almost surely, 2540124325 is an apocalyptic number.

It is an amenable number.

540124325 is a deficient number, since it is larger than the sum of its proper divisors (194781763).

540124325 is a wasteful number, since it uses less digits than its factorization.

540124325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31433 (or 31428 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 540124325 is about 23240.5749713728. The cubic root of 540124325 is about 814.3877746219.

The spelling of 540124325 in words is "five hundred forty million, one hundred twenty-four thousand, three hundred twenty-five".

Divisors: 1 5 13 25 53 65 265 325 689 1325 3445 17225 31357 156785 407641 783925 1661921 2038205 8309605 10191025 21604973 41548025 108024865 540124325