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10002513525 = 352133366847
BaseRepresentation
bin10010101000011001…
…00011111001110101
3221211002111100000220
421110030203321311
5130441120413100
64332312324553
7502604651004
oct112414437165
927732440026
1010002513525
114273181504
121b319a3759
13c3538a574
146ac618c3b
153d8207aa0
hex254323e75

10002513525 has 12 divisors (see below), whose sum is σ = 16537489152. Its totient is φ = 5334673840.

The previous prime is 10002513473. The next prime is 10002513541. The reversal of 10002513525 is 52531520001.

It is a happy number.

10002513525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10002513525 - 218 = 10002251381 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002513495 and 10002513504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66683349 + ... + 66683498.

It is an arithmetic number, because the mean of its divisors is an integer number (1378124096).

Almost surely, 210002513525 is an apocalyptic number.

10002513525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10002513525 is a deficient number, since it is larger than the sum of its proper divisors (6534975627).

10002513525 is a wasteful number, since it uses less digits than its factorization.

10002513525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133366860 (or 133366855 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The spelling of 10002513525 in words is "ten billion, two million, five hundred thirteen thousand, five hundred twenty-five".

Divisors: 1 3 5 15 25 75 133366847 400100541 666834235 2000502705 3334171175 10002513525