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1252686985225 = 521326722572
BaseRepresentation
bin10010001110101001111…
…101100111100000001001
311102202101220120021101121
4102032221331213200021
5131011000332011400
62355250525315241
7156334515454654
oct22165175474011
94382356507347
101252686985225
11443297166995
12182942405b21
1391187c35300
14448b7a6089b
15228ba3e421a
hex123a9f67809

1252686985225 has 81 divisors (see below), whose sum is σ = 1714159347327. Its totient is φ = 907708538880.

The previous prime is 1252686985219. The next prime is 1252686985267. The reversal of 1252686985225 is 5225896862521.

The square root of 1252686985225 is 1119235.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 467676809161 + 785010176064 = 683869^2 + 886008^2 .

It is not a de Polignac number, because 1252686985225 - 237 = 1115248031753 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4874268297 + ... + 4874268553.

Almost surely, 21252686985225 is an apocalyptic number.

1252686985225 is the 1119235-th square number.

1252686985225 is the 559618-th centered octagonal number.

It is an amenable number.

1252686985225 is a deficient number, since it is larger than the sum of its proper divisors (461472362102).

1252686985225 is an frugal number, since it uses more digits than its factorization.

1252686985225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 342 counting only the distinct ones).

The product of its digits is 41472000, while the sum is 61.

The spelling of 1252686985225 in words is "one trillion, two hundred fifty-two billion, six hundred eighty-six million, nine hundred eighty-five thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 67 169 257 325 335 845 871 1285 1675 3341 4225 4355 4489 6425 11323 16705 17219 21775 22445 43433 56615 58357 66049 83525 86095 112225 217165 223847 283075 291785 330245 430475 758641 858637 1085825 1119235 1153673 1458925 1651225 2910011 3793205 4293185 4425283 5596175 5768365 11162281 14550055 14997749 18966025 21465925 22126415 28841825 55811405 57528679 72750275 74988745 110632075 194970737 279057025 287643395 296493961 374943725 747872827 974853685 1438216975 1482469805 3739364135 3854421493 4874268425 7412349025 18696820675 19272107465 50107479409 96360537325 250537397045 1252686985225