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252590325 = 352133161137
BaseRepresentation
bin11110000111000…
…11100011110101
3122121021220210020
433003203203311
51004130342300
641021515353
76154660641
oct1703434365
9577256706
10252590325
1111a642939
1270712b59
134043b740
1425791c21
15172968a0
hexf0e38f5

252590325 has 96 divisors (see below), whose sum is σ = 475302912. Its totient is φ = 117504000.

The previous prime is 252590321. The next prime is 252590329. The reversal of 252590325 is 523095252.

It is an interprime number because it is at equal distance from previous prime (252590321) and next prime (252590329).

It is not a de Polignac number, because 252590325 - 22 = 252590321 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252590321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1843657 + ... + 1843793.

It is an arithmetic number, because the mean of its divisors is an integer number (4951072).

Almost surely, 2252590325 is an apocalyptic number.

252590325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252590325 is a deficient number, since it is larger than the sum of its proper divisors (222712587).

252590325 is a wasteful number, since it uses less digits than its factorization.

252590325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 252590325 is about 15893.0904798280. The cubic root of 252590325 is about 632.1287900820.

The spelling of 252590325 in words is "two hundred fifty-two million, five hundred ninety thousand, three hundred twenty-five".

Divisors: 1 3 5 13 15 25 31 39 61 65 75 93 137 155 183 195 305 325 403 411 465 685 775 793 915 975 1209 1525 1781 1891 2015 2055 2325 2379 3425 3965 4247 4575 5343 5673 6045 8357 8905 9455 10075 10275 11895 12741 19825 21235 24583 25071 26715 28365 30225 41785 44525 47275 55211 59475 63705 73749 106175 108641 122915 125355 133575 141825 165633 208925 259067 276055 318525 325923 368745 543205 614575 626775 777201 828165 1295335 1380275 1629615 1843725 2716025 3367871 3886005 4140825 6476675 8148075 10103613 16839355 19430025 50518065 84196775 252590325