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135759087025 = 5259212492
BaseRepresentation
bin111111001101111011…
…1110100010110110001
3110222102021200011211021
41332123313310112301
54211013311241100
6142211124215441
712544144125352
oct1763367642661
9428367604737
10135759087025
1152636513491
122238953a581
13ca57090033
1467dc2c5d29
1537e875ea1a
hex1f9bdf45b1

135759087025 has 27 divisors (see below), whose sum is σ = 171380083521. Its totient is φ = 106680986880.

The previous prime is 135759087019. The next prime is 135759087029. The reversal of 135759087025 is 520780957531.

The square root of 135759087025 is 368455.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7248308769 + 128510778256 = 85137^2 + 358484^2 .

It is not a de Polignac number, because 135759087025 - 29 = 135759086513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135759087029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 108693601 + ... + 108694849.

Almost surely, 2135759087025 is an apocalyptic number.

135759087025 is the 368455-th square number.

135759087025 is the 184228-th centered octagonal number.

It is an amenable number.

135759087025 is a deficient number, since it is larger than the sum of its proper divisors (35620996496).

135759087025 is an frugal number, since it uses more digits than its factorization.

135759087025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 52.

The spelling of 135759087025 in words is "one hundred thirty-five billion, seven hundred fifty-nine million, eighty-seven thousand, twenty-five".

Divisors: 1 5 25 59 295 1249 1475 3481 6245 17405 31225 73691 87025 368455 1560001 1842275 4347769 7800005 21738845 39000025 92040059 108694225 460200295 2301001475 5430363481 27151817405 135759087025