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52013231025 = 35271719306727
BaseRepresentation
bin110000011100001110…
…101110101110110001
311222020220001220101220
4300130032232232301
51323010341343100
635521120015253
73520636111650
oct603416565661
9158226056356
1052013231025
1120071127348
12a0b7161529
134b9bb9a4a2
142735c71197
1515464bcaa0
hexc1c3aebb1

52013231025 has 96 divisors (see below), whose sum is σ = 109538703360. Its totient is φ = 21200901120.

The previous prime is 52013230967. The next prime is 52013231029.

It is a happy number.

52013231025 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52013231025 - 26 = 52013230961 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 52013230986 and 52013231004.

It is not an unprimeable number, because it can be changed into a prime (52013231029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16212 + ... + 322938.

It is an arithmetic number, because the mean of its divisors is an integer number (1141028160).

Almost surely, 252013231025 is an apocalyptic number.

It is an amenable number.

52013231025 is an abundant number, since it is smaller than the sum of its proper divisors (57525472335).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52013231025 is a wasteful number, since it uses less digits than its factorization.

52013231025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306783 (or 306778 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 52013231025 in words is "fifty-two billion, thirteen million, two hundred thirty-one thousand, twenty-five".

Divisors: 1 3 5 7 15 17 19 21 25 35 51 57 75 85 95 105 119 133 175 255 285 323 357 399 425 475 525 595 665 969 1275 1425 1615 1785 1995 2261 2975 3325 4845 6783 8075 8925 9975 11305 24225 33915 56525 169575 306727 920181 1533635 2147089 4600905 5214359 5827813 6441267 7668175 10735445 15643077 17483439 23004525 26071795 29139065 32206335 36500513 40794691 53677225 78215385 87417195 99072821 109501539 122384073 130358975 145695325 161031675 182502565 203973455 297218463 391076925 437085975 495364105 547507695 611920365 693509747 912512825 1019867275 1486092315 2080529241 2476820525 2737538475 3059601825 3467548735 7430461575 10402646205 17337743675 52013231025