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523247363742325 = 52172441504371269
BaseRepresentation
bin111011011111001000000010…
…1001111101101101001110101
32112121122221220102211111222111
41312332100011033231221311
51022040341100104223300
65052504304230531021
7215133242312402125
oct16676200517555165
92477587812744874
10523247363742325
111417a4a62890382
124a828a17506a71
13195c702633a201
14932d443c22c85
154075ce864d9ba
hex1dbe4053eda75

523247363742325 has 24 divisors (see below), whose sum is σ = 687274449867720. Its totient is φ = 393813086054400.

The previous prime is 523247363742289. The next prime is 523247363742361.

523247363742325 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (523247363742289) and next prime (523247363742361).

It can be written as a sum of positive squares in 12 ways, for example, as 318731537126916 + 204515826615409 = 17853054^2 + 14300903^2 .

It is not a de Polignac number, because 523247363742325 - 217 = 523247363611253 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 523247363742325.

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, 251148210 + ... + 253223059.

It is an arithmetic number, because the mean of its divisors is an integer number (28636435411155).

Almost surely, 2523247363742325 is an apocalyptic number.

It is an amenable number.

523247363742325 is a deficient number, since it is larger than the sum of its proper divisors (164027086125395).

523247363742325 is a wasteful number, since it uses less digits than its factorization.

523247363742325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504373737 (or 504373732 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 58.

The spelling of 523247363742325 in words is "five hundred twenty-three trillion, two hundred forty-seven billion, three hundred sixty-three million, seven hundred forty-two thousand, three hundred twenty-five".

Divisors: 1 5 17 25 85 425 2441 12205 41497 61025 207485 1037425 504371269 2521856345 8574311573 12609281725 42871557865 214357789325 1231170267629 6155851338145 20929894549693 30779256690725 104649472748465 523247363742325