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5540135325 = 3527110110301
BaseRepresentation
bin1010010100011011…
…11100000110011101
3112022002202000221020
411022031330012131
542321233312300
62313424154353
7254201242014
oct51215740635
915262660836
105540135325
11239329773a
1210a74689b9
136a3a26caa
143a7b03a7b
1522659b8a0
hex14a37c19d

5540135325 has 48 divisors (see below), whose sum is σ = 9381578112. Its totient is φ = 2884000000.

The previous prime is 5540135323. The next prime is 5540135353. The reversal of 5540135325 is 5235310455.

It is a happy number.

It is not a de Polignac number, because 5540135325 - 21 = 5540135323 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5540135323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 532675 + ... + 542975.

It is an arithmetic number, because the mean of its divisors is an integer number (195449544).

Almost surely, 25540135325 is an apocalyptic number.

It is an amenable number.

5540135325 is a deficient number, since it is larger than the sum of its proper divisors (3841442787).

5540135325 is a wasteful number, since it uses less digits than its factorization.

5540135325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10486 (or 10481 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

The square root of 5540135325 is about 74432.0853194373. The cubic root of 5540135325 is about 1769.4574528522.

It can be divided in two parts, 554013 and 5325, that multiplied together give a square (2950119225 = 543152).

The spelling of 5540135325 in words is "five billion, five hundred forty million, one hundred thirty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 15 25 71 75 101 213 303 355 505 1065 1515 1775 2525 5325 7171 7575 10301 21513 30903 35855 51505 107565 154515 179275 257525 537825 731371 772575 1040401 2194113 3121203 3656855 5202005 10970565 15606015 18284275 26010025 54852825 73868471 78030075 221605413 369342355 1108027065 1846711775 5540135325