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825410051 = 6773168761
BaseRepresentation
bin110001001100101…
…100001000000011
32010112011011201122
4301030230020003
53142301110201
6213523222455
726311604204
oct6114541003
92115134648
10825410051
11393a16874
121b0517a2b
1310200b91b
147b8a15ab
154c6e5e1b
hex3132c203

825410051 has 8 divisors (see below), whose sum is σ = 849210384. Its totient is φ = 801947520.

The previous prime is 825410041. The next prime is 825410057. The reversal of 825410051 is 150014528.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-825410051 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 825410051.

It is not an unprimeable number, because it can be changed into a prime (825410057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79490 + ... + 89271.

It is an arithmetic number, because the mean of its divisors is an integer number (106151298).

Almost surely, 2825410051 is an apocalyptic number.

825410051 is a deficient number, since it is larger than the sum of its proper divisors (23800333).

825410051 is a wasteful number, since it uses less digits than its factorization.

825410051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168901.

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 825410051 is about 28729.9504176391. The cubic root of 825410051 is about 938.0440886983.

Adding to 825410051 its reverse (150014528), we get a palindrome (975424579).

The spelling of 825410051 in words is "eight hundred twenty-five million, four hundred ten thousand, fifty-one".

Divisors: 1 67 73 4891 168761 11306987 12319553 825410051