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1253025531225 = 325213428384797
BaseRepresentation
bin10010001110111110001…
…001000100010101011001
311102210021111121012012100
4102032332021010111121
5131012144013444400
62355344301434013
7156346066165356
oct22167611042531
94383244535170
101253025531225
11443450278576
12182a1786b909
139121010aba0
144490a9c962d
15228d9eb9100
hex123be244559

1253025531225 has 36 divisors (see below), whose sum is σ = 2416947030316. Its totient is φ = 616874106240.

The previous prime is 1253025531209. The next prime is 1253025531259. The reversal of 1253025531225 is 5221355203521.

1253025531225 is a `hidden beast` number, since 12 + 5 + 302 + 5 + 5 + 312 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 166177881 + 1252859353344 = 12891^2 + 1119312^2 .

It is not a de Polignac number, because 1253025531225 - 24 = 1253025531209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1253025531225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 214189474 + ... + 214195323.

Almost surely, 21253025531225 is an apocalyptic number.

1253025531225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1253025531225 is a deficient number, since it is larger than the sum of its proper divisors (1163921499091).

1253025531225 is a wasteful number, since it uses less digits than its factorization.

1253025531225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428384826 (or 428384818 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 1253025531225 in words is "one trillion, two hundred fifty-three billion, twenty-five million, five hundred thirty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 2925 428384797 1285154391 2141923985 3855463173 5569002361 6425771955 10709619925 16707007083 19277315865 27845011805 32128859775 50121021249 83535035415 96386579325 139225059025 250605106245 417675177075 1253025531225