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13582000633 is a prime number
BaseRepresentation
bin11001010011000110…
…01110000111111001
31022001112221010020111
430221203032013321
5210303443010013
610123421224321
7660401046325
oct145143160771
938045833214
1013582000633
11583a75a113
1227707020a1
131385b37986
1492bb88985
155475b673d
hex3298ce1f9

13582000633 has 2 divisors, whose sum is σ = 13582000634. Its totient is φ = 13582000632.

The previous prime is 13582000583. The next prime is 13582000651. The reversal of 13582000633 is 33600028531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11652770704 + 1929229929 = 107948^2 + 43923^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13582000633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13582000595 and 13582000604.

It is not a weakly prime, because it can be changed into another prime (13582001633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6791000316 + 6791000317.

It is an arithmetic number, because the mean of its divisors is an integer number (6791000317).

Almost surely, 213582000633 is an apocalyptic number.

It is an amenable number.

13582000633 is a deficient number, since it is larger than the sum of its proper divisors (1).

13582000633 is an equidigital number, since it uses as much as digits as its factorization.

13582000633 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 13582000633 in words is "thirteen billion, five hundred eighty-two million, six hundred thirty-three", and thus it is an aban number.