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506202125 = 53111328319
BaseRepresentation
bin11110001011000…
…000100000001101
31022021111201202212
4132023000200031
52014041432000
6122121400205
715354434642
oct3613004015
91267451685
10506202125
1123a813170
12121639065
1380b470b0
144b32bdc9
152e690c35
hex1e2c080d

506202125 has 32 divisors (see below), whose sum is σ = 742210560. Its totient is φ = 339816000.

The previous prime is 506202121. The next prime is 506202133. The reversal of 506202125 is 521202605.

It is not a de Polignac number, because 506202125 - 22 = 506202121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 506202125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506202121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3716 + ... + 32034.

It is an arithmetic number, because the mean of its divisors is an integer number (23194080).

Almost surely, 2506202125 is an apocalyptic number.

506202125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

506202125 is a deficient number, since it is larger than the sum of its proper divisors (236008435).

506202125 is a wasteful number, since it uses less digits than its factorization.

506202125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28358 (or 28348 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 506202125 is about 22498.9360859575. The cubic root of 506202125 is about 796.9688027473.

The spelling of 506202125 in words is "five hundred six million, two hundred two thousand, one hundred twenty-five".

Divisors: 1 5 11 13 25 55 65 125 143 275 325 715 1375 1625 3575 17875 28319 141595 311509 368147 707975 1557545 1840735 3539875 4049617 7787725 9203675 20248085 38938625 46018375 101240425 506202125