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812057585153 is a prime number
BaseRepresentation
bin10111101000100100110…
…01110110011000000001
32212122001200121112022112
423310102121312120001
5101301043220211103
61421015404145105
7112445354404343
oct13642231663001
92778050545275
10812057585153
11293434377a01
12111470538195
135b766023c49
142b437893293
15161cbb39cd8
hexbd12676601

812057585153 has 2 divisors, whose sum is σ = 812057585154. Its totient is φ = 812057585152.

The previous prime is 812057585099. The next prime is 812057585189. The reversal of 812057585153 is 351585750218.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 705319467889 + 106738117264 = 839833^2 + 326708^2 .

It is a cyclic number.

It is not a de Polignac number, because 812057585153 - 26 = 812057585089 is a prime.

It is not a weakly prime, because it can be changed into another prime (812057585753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406028792576 + 406028792577.

It is an arithmetic number, because the mean of its divisors is an integer number (406028792577).

Almost surely, 2812057585153 is an apocalyptic number.

It is an amenable number.

812057585153 is a deficient number, since it is larger than the sum of its proper divisors (1).

812057585153 is an equidigital number, since it uses as much as digits as its factorization.

812057585153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1680000, while the sum is 50.

The spelling of 812057585153 in words is "eight hundred twelve billion, fifty-seven million, five hundred eighty-five thousand, one hundred fifty-three".