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25522938081 = 36612972
BaseRepresentation
bin10111110001010010…
…010010000011100001
32102212201220121000000
4113301102102003201
5404232333004311
615420341050213
71562324252124
oct276122220341
972781817000
1025522938081
11a908040163
124b436b6969
132539990134
1413419d03bb
159e5a6c056
hex5f14920e1

25522938081 has 63 divisors (see below), whose sum is σ = 39309724233. Its totient is φ = 16563813120.

The previous prime is 25522938061. The next prime is 25522938109. The reversal of 25522938081 is 18083922552.

The square root of 25522938081 is 159759.

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

25522938081 is a `hidden beast` number, since 2 + 552 + 2 + 93 + 8 + 0 + 8 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9474102225 + 16048835856 = 97335^2 + 126684^2 .

It is not a de Polignac number, because 25522938081 - 29 = 25522937569 is a prime.

It is a super-2 number, since 2×255229380812 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (25522938031) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 263123025 + ... + 263123121.

Almost surely, 225522938081 is an apocalyptic number.

25522938081 is the 159759-th square number.

25522938081 is the 79880-th centered octagonal number.

It is an amenable number.

25522938081 is a deficient number, since it is larger than the sum of its proper divisors (13786786152).

25522938081 is an frugal number, since it uses more digits than its factorization.

25522938081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 25522938081 in words is "twenty-five billion, five hundred twenty-two million, nine hundred thirty-eight thousand, eighty-one".

Divisors: 1 3 9 27 61 81 97 183 243 291 549 729 873 1647 2619 3721 4941 5917 7857 9409 11163 14823 17751 23571 28227 33489 44469 53253 70713 84681 100467 159759 254043 301401 360937 479277 573949 762129 904203 1082811 1437831 1721847 2286387 2712609 3248433 4313493 5165541 6859161 9745299 15496623 29235897 35010889 46489869 87707691 105032667 139469607 263123073 315098001 418408821 945294003 2835882009 8507646027 25522938081