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601313381325 = 33522699330061
BaseRepresentation
bin10001100000000010001…
…00100000101111001101
32010111002120012201222000
420300001010200233031
534322442211200300
61140123424342513
761305051260046
oct10600104405715
92114076181860
10601313381325
11212019800408
1298656774a39
134491ba9c117
14211648898cd
1510995302c00
hex8c01120bcd

601313381325 has 48 divisors (see below), whose sum is σ = 1105047576000. Its totient is φ = 320580676800.

The previous prime is 601313381323. The next prime is 601313381327. The reversal of 601313381325 is 523183313106.

601313381325 is a `hidden beast` number, since 60 + 131 + 338 + 132 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (601313381323) and next prime (601313381327).

It is not a de Polignac number, because 601313381325 - 21 = 601313381323 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 601313381325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601313381321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1656795 + ... + 1986855.

It is an arithmetic number, because the mean of its divisors is an integer number (23021824500).

Almost surely, 2601313381325 is an apocalyptic number.

It is an amenable number.

601313381325 is a deficient number, since it is larger than the sum of its proper divisors (503734194675).

601313381325 is a wasteful number, since it uses less digits than its factorization.

601313381325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332779 (or 332768 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 601313381325 in words is "six hundred one billion, three hundred thirteen million, three hundred eighty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 225 675 2699 8097 13495 24291 40485 67475 72873 121455 202425 330061 364365 607275 990183 1650305 1821825 2970549 4950915 8251525 8911647 14852745 24754575 44558235 74263725 222791175 890834639 2672503917 4454173195 8017511751 13362519585 22270865975 24052535253 40087558755 66812597925 120262676265 200437793775 601313381325