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25131768625153 = 3711327721700169
BaseRepresentation
bin1011011011011011100100…
…01001000011100000000001
310021222120111011111100022001
411231231302021003200001
511243224330232001103
6125241213005344001
75202465440433001
oct555556211034001
9107876434440261
1025131768625153
11800a361228a03
12299a856568001
131103bb97a5b88
1462c553d3a001
152d8b0582801d
hex16db72243801

25131768625153 has 16 divisors (see below), whose sum is σ = 26133427930320. Its totient is φ = 24148641355776.

The previous prime is 25131768625099. The next prime is 25131768625163. The reversal of 25131768625153 is 35152686713152.

It can be written as a sum of positive squares in 8 ways, for example, as 17919302769 + 25113849322384 = 133863^2 + 5011372^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-25131768625153 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 25131768625094 and 25131768625103.

It is not an unprimeable number, because it can be changed into a prime (25131768625163) 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 15 ways as a sum of consecutive naturals, for example, 9691948 + ... + 12008221.

It is an arithmetic number, because the mean of its divisors is an integer number (1633339245645).

Almost surely, 225131768625153 is an apocalyptic number.

It is an amenable number.

25131768625153 is a deficient number, since it is larger than the sum of its proper divisors (1001659305167).

25131768625153 is a wasteful number, since it uses less digits than its factorization.

25131768625153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21700596.

The product of its digits is 9072000, while the sum is 55.

The spelling of 25131768625153 in words is "twenty-five trillion, one hundred thirty-one billion, seven hundred sixty-eight million, six hundred twenty-five thousand, one hundred fifty-three".

Divisors: 1 37 113 277 4181 10249 31301 1158137 21700169 802906253 2452119097 6010946813 90728406589 222405032081 679236989869 25131768625153