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1350325341225 = 345274172312
BaseRepresentation
bin10011101001100101101…
…010011000110000101001
311210002102111100200010000
4103221211222120300221
5134110431241404400
62512155250213213
7166362215010000
oct23514552306051
94702374320100
101350325341225
114807404a7993
12199851284209
139a448398563
14494db1a7c37
15251d2132600
hex13a65a98c29

1350325341225 has 675 divisors, whose sum is σ = 3202932578901. Its totient is φ = 562239014400.

The previous prime is 1350325341203. The next prime is 1350325341227. The reversal of 1350325341225 is 5221435230531.

The square root of 1350325341225 is 1162035.

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

1350325341225 is a `hidden beast` number, since 1 + 3 + 503 + 25 + 3 + 4 + 122 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31585464729 + 1318739876496 = 177723^2 + 1148364^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is not a de Polignac number, because 1350325341225 - 29 = 1350325340713 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1350325341225.

It is not an unprimeable number, because it can be changed into a prime (1350325341227) by changing a digit.

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 674 ways as a sum of consecutive naturals, for example, 43558881960 + ... + 43558881990.

Almost surely, 21350325341225 is an apocalyptic number.

1350325341225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1350325341225 is the 1162035-th square number.

1350325341225 is the 581018-th centered octagonal number.

It is an amenable number.

1350325341225 is an abundant number, since it is smaller than the sum of its proper divisors (1852607237676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1350325341225 is an frugal number, since it uses more digits than its factorization.

1350325341225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Multiplying 1350325341225 by its sum of digits (36), we get a square (48611712284100 = 69722102).

The spelling of 1350325341225 in words is "one trillion, three hundred fifty billion, three hundred twenty-five million, three hundred forty-one thousand, two hundred twenty-five".