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20130136525 = 521373586457
BaseRepresentation
bin10010101111110110…
…011000000111001101
31220221220101220000001
4102233312120013031
5312211303332100
613125254404301
71311562223452
oct225766300715
956856356001
1020130136525
11859aa34574
123a99660691
131b8a6405b5
14d8d6bd829
157cc3c4d6a
hex4afd981cd

20130136525 has 12 divisors (see below), whose sum is σ = 24979592052. Its totient is φ = 16092352640.

The previous prime is 20130136483. The next prime is 20130136529. The reversal of 20130136525 is 52563103102.

It can be written as a sum of positive squares in 6 ways, for example, as 727596676 + 19402539849 = 26974^2 + 139293^2 .

It is not a de Polignac number, because 20130136525 - 217 = 20130005453 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20130136493 and 20130136502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130136529) 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 11 ways as a sum of consecutive naturals, for example, 258904 + ... + 327553.

It is an arithmetic number, because the mean of its divisors is an integer number (2081632671).

Almost surely, 220130136525 is an apocalyptic number.

20130136525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20130136525 is a deficient number, since it is larger than the sum of its proper divisors (4849455527).

20130136525 is a wasteful number, since it uses less digits than its factorization.

20130136525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587840 (or 587835 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 20130136525 its reverse (52563103102), we get a palindrome (72693239627).

The spelling of 20130136525 in words is "twenty billion, one hundred thirty million, one hundred thirty-six thousand, five hundred twenty-five".

Divisors: 1 5 25 1373 6865 34325 586457 2932285 14661425 805205461 4026027305 20130136525