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540247050225 = 325219225792
BaseRepresentation
bin1111101110010010011…
…10111100011111110001
31220122110202010200221100
413313021032330133301
532322411221101400
61052104105115013
754013553105241
oct7671116743761
91818422120840
10540247050225
11199132414a83
1288853788a69
133bc3944c1ac
141c21053db21
15e0be16a100
hex7dc93bc7f1

540247050225 has 81 divisors (see below), whose sum is σ = 1021647637803. Its totient is φ = 272861088480.

The previous prime is 540247050223. The next prime is 540247050229. The reversal of 540247050225 is 522050742045.

The square root of 540247050225 is 735015.

It is a perfect power (a square), and thus also a powerful number.

540247050225 is a `hidden beast` number, since 5 + 40 + 24 + 70 + 502 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 194488938081 + 345758112144 = 441009^2 + 588012^2 .

It is not a de Polignac number, because 540247050225 - 21 = 540247050223 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 540247050225.

It is not an unprimeable number, because it can be changed into a prime (540247050223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 209477986 + ... + 209480564.

Almost surely, 2540247050225 is an apocalyptic number.

540247050225 is the 735015-th square number.

540247050225 is the 367508-th centered octagonal number.

It is an amenable number.

540247050225 is a deficient number, since it is larger than the sum of its proper divisors (481400587578).

540247050225 is an equidigital number, since it uses as much as digits as its factorization.

540247050225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5212 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

Multiplying 540247050225 by its sum of digits (36), we get a square (19448893808100 = 44100902).

The spelling of 540247050225 in words is "five hundred forty billion, two hundred forty-seven million, fifty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 171 225 285 361 475 855 1083 1425 1805 2579 3249 4275 5415 7737 9025 12895 16245 23211 27075 38685 49001 64475 81225 116055 147003 193425 245005 441009 580275 735015 931019 1225025 2205045 2793057 3675075 4655095 6651241 8379171 11025225 13965285 19953723 23275475 33256205 41895855 59861169 69826425 99768615 126373579 166281025 209479275 299305845 379120737 498843075 631867895 1137362211 1496529225 1895603685 2401098001 3159339475 5686811055 7203294003 9478018425 12005490005 21609882009 28434055275 36016470015 60027450025 108049410045 180082350075 540247050225