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5205232125 = 34531730241
BaseRepresentation
bin1001101100100000…
…11000100111111101
3111102202120012010000
410312100120213331
541130014412000
62220302104513
7242663512602
oct46620304775
914382505100
105205232125
112231243a35
12101327b139
1364c528512
143754466a9
15206e96000
hex1364189fd

5205232125 has 80 divisors (see below), whose sum is σ = 10275263856. Its totient is φ = 2612736000.

The previous prime is 5205232117. The next prime is 5205232133. The reversal of 5205232125 is 5212325025.

It is an interprime number because it is at equal distance from previous prime (5205232117) and next prime (5205232133).

It can be written as a sum of positive squares in 8 ways, for example, as 1906108281 + 3299123844 = 43659^2 + 57438^2 .

It is not a de Polignac number, because 5205232125 - 23 = 5205232117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 157005 + ... + 187245.

Almost surely, 25205232125 is an apocalyptic number.

It is an amenable number.

5205232125 is a deficient number, since it is larger than the sum of its proper divisors (5070031731).

5205232125 is a wasteful number, since it uses less digits than its factorization.

5205232125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30285 (or 30266 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5205232125 is about 72147.2946478245. The cubic root of 5205232125 is about 1733.0590763277.

The spelling of 5205232125 in words is "five billion, two hundred five million, two hundred thirty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 81 85 125 135 153 225 255 375 405 425 459 675 765 1125 1275 1377 2025 2125 2295 3375 3825 6375 6885 10125 11475 19125 30241 34425 57375 90723 151205 172125 272169 453615 514097 756025 816507 1360845 1542291 2268075 2449521 2570485 3780125 4082535 4626873 6804225 7711455 11340375 12247605 12852425 13880619 20412675 23134365 34021125 38557275 41641857 61238025 64262125 69403095 102063375 115671825 192786375 208209285 306190125 347015475 578359125 1041046425 1735077375 5205232125