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42521052042225 = 32521719357599041
BaseRepresentation
bin10011010101100001101000…
…01100111101001111110001
312120112222021020010010101200
421222300310030331033301
521033131103310322400
6230233522430521413
711646021210610521
oct1152606414751761
9176488236103350
1042521052042225
11126040933a1259
124928a46366269
131a959445b3503
14a7005c08b681
154db10bb09b00
hex26ac3433d3f1

42521052042225 has 72 divisors (see below), whose sum is σ = 81057749429592. Its totient is φ = 21233310105600.

The previous prime is 42521052042211. The next prime is 42521052042257. The reversal of 42521052042225 is 52224025012524.

42521052042225 is a `hidden beast` number, since 42 + 52 + 1 + 0 + 520 + 4 + 22 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 23002690316544 + 19518361725681 = 4796112^2 + 4417959^2 .

It is not a de Polignac number, because 42521052042225 - 25 = 42521052042193 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 42521052042225.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28061296 + ... + 29537745.

It is an arithmetic number, because the mean of its divisors is an integer number (1125802075411).

Almost surely, 242521052042225 is an apocalyptic number.

42521052042225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42521052042225 is a deficient number, since it is larger than the sum of its proper divisors (38536697387367).

42521052042225 is a wasteful number, since it uses less digits than its factorization.

42521052042225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57599267 (or 57599259 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 42521052042225 its reverse (52224025012524), we get a palindrome (94745077054749).

The spelling of 42521052042225 in words is "forty-two trillion, five hundred twenty-one billion, fifty-two million, forty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 193 225 255 425 579 765 965 1275 1737 2895 3281 3825 4825 8685 9843 14475 16405 29529 43425 49215 82025 147645 246075 738225 57599041 172797123 287995205 518391369 863985615 979183697 1439976025 2591956845 2937551091 4319928075 4895918485 8812653273 11116614913 12959784225 14687755455 24479592425 33349844739 44063266365 55583074565 73438777275 100049534217 166749223695 188982453521 220316331825 277915372825 500247671085 566947360563 833746118475 944912267605 1700842081689 2501238355425 2834736802815 4724561338025 8504210408445 14173684014075 42521052042225