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54012084025 = 525328772
BaseRepresentation
bin110010010011010111…
…101111111100111001
312011102012021011020111
4302103113233330321
51341104043142100
640451322224321
73621320065504
oct622327577471
9164365234214
1054012084025
11209a7460179
12a5746550a1
13512a032743
14288550c13b
151611c056ba
hexc935eff39

54012084025 has 27 divisors (see below), whose sum is σ = 68340431271. Its totient is φ = 42346050240.

The previous prime is 54012084001. The next prime is 54012084029. The reversal of 54012084025 is 52048021045.

The square root of 54012084025 is 232405.

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

It can be written as a sum of positive squares in 13 ways, for example, as 5381249449 + 48630834576 = 73357^2 + 220524^2 .

It is not a de Polignac number, because 54012084025 - 29 = 54012083513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54012084029) 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 26 ways as a sum of consecutive naturals, for example, 61586887 + ... + 61587763.

Almost surely, 254012084025 is an apocalyptic number.

54012084025 is the 232405-th square number.

54012084025 is the 116203-rd centered octagonal number.

It is an amenable number.

54012084025 is a deficient number, since it is larger than the sum of its proper divisors (14328347246).

54012084025 is an frugal number, since it uses more digits than its factorization.

54012084025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

The spelling of 54012084025 in words is "fifty-four billion, twelve million, eighty-four thousand, twenty-five".

Divisors: 1 5 25 53 265 877 1325 2809 4385 14045 21925 46481 70225 232405 769129 1162025 2463493 3845645 12317465 19228225 40763837 61587325 203819185 1019095925 2160483361 10802416805 54012084025