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825544145801 is a prime number
BaseRepresentation
bin11000000001101100100…
…00111111101110001001
32220220212120221210111202
430000312100333232021
5102011203300131201
61431125540033545
7113433516313214
oct14006620775611
92826776853452
10825544145801
1129912516a5a1
12113bb50928b5
135cb0515384b
142bd56ab677b
151671ab4cc6b
hexc03643fb89

825544145801 has 2 divisors, whose sum is σ = 825544145802. Its totient is φ = 825544145800.

The previous prime is 825544145759. The next prime is 825544145849. The reversal of 825544145801 is 108541445528.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 794636747776 + 30907398025 = 891424^2 + 175805^2 .

It is a cyclic number.

It is not a de Polignac number, because 825544145801 - 26 = 825544145737 is a prime.

It is not a weakly prime, because it can be changed into another prime (825544141801) 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 as a sum of consecutive naturals, namely, 412772072900 + 412772072901.

It is an arithmetic number, because the mean of its divisors is an integer number (412772072901).

Almost surely, 2825544145801 is an apocalyptic number.

It is an amenable number.

825544145801 is a deficient number, since it is larger than the sum of its proper divisors (1).

825544145801 is an equidigital number, since it uses as much as digits as its factorization.

825544145801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024000, while the sum is 47.

The spelling of 825544145801 in words is "eight hundred twenty-five billion, five hundred forty-four million, one hundred forty-five thousand, eight hundred one".