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1008252957925 = 521721881108421
BaseRepresentation
bin11101010110000001000…
…11110011010011100101
310120101110212211010102101
432223000203303103211
5113004400224123200
62051103544012101
7132562306510603
oct16530043632345
93511425733371
101008252957925
11359663567384
121434a5a61031
13741020487b5
1436b2a55a873
151b36107c26a
hexeac08f34e5

1008252957925 has 24 divisors (see below), whose sum is σ = 1323849533832. Its totient is φ = 759113472000.

The previous prime is 1008252957893. The next prime is 1008252957941. The reversal of 1008252957925 is 5297592528001.

1008252957925 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 10041182+1.

It can be written as a sum of positive squares in 12 ways, for example, as 406229044321 + 602023913604 = 637361^2 + 775902^2 .

It is not a de Polignac number, because 1008252957925 - 25 = 1008252957893 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9245215 + ... + 9353635.

It is an arithmetic number, because the mean of its divisors is an integer number (55160397243).

Almost surely, 21008252957925 is an apocalyptic number.

It is an amenable number.

1008252957925 is a deficient number, since it is larger than the sum of its proper divisors (315596575907).

1008252957925 is a wasteful number, since it uses less digits than its factorization.

1008252957925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130329 (or 130324 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 55.

The spelling of 1008252957925 in words is "one trillion, eight billion, two hundred fifty-two million, nine hundred fifty-seven thousand, nine hundred twenty-five".

Divisors: 1 5 17 25 85 425 21881 108421 109405 371977 542105 547025 1843157 1859885 2710525 9215785 9299425 46078925 2372359901 11861799505 40330118317 59308997525 201650591585 1008252957925