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527021164053 = 32412161660917
BaseRepresentation
bin1111010101101001110…
…10001100011000010101
31212101100000022001220100
413222310322030120111
532113314404222203
61042035444324313
753035034660316
oct7526472143025
91771300261810
10527021164053
11193565786a3a
12861823a3699
133a90c32b847
141b717bb460d
15da97e98ea3
hex7ab4e8c615

527021164053 has 24 divisors (see below), whose sum is σ = 780181974936. Its totient is φ = 342618854400.

The previous prime is 527021164049. The next prime is 527021164147. The reversal of 527021164053 is 350461120725.

527021164053 is a `hidden beast` number, since 5 + 2 + 7 + 0 + 2 + 1 + 1 + 640 + 5 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22476606084 + 504544557969 = 149922^2 + 710313^2 .

It is not a de Polignac number, because 527021164053 - 22 = 527021164049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 527021163999 and 527021164017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527021164013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 466951 + ... + 1127867.

It is an arithmetic number, because the mean of its divisors is an integer number (32507582289).

Almost surely, 2527021164053 is an apocalyptic number.

It is an amenable number.

527021164053 is a deficient number, since it is larger than the sum of its proper divisors (253160810883).

527021164053 is a wasteful number, since it uses less digits than its factorization.

527021164053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663125 (or 663122 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 527021164053 its reverse (350461120725), we get a palindrome (877482284778).

The spelling of 527021164053 in words is "five hundred twenty-seven billion, twenty-one million, one hundred sixty-four thousand, fifty-three".

Divisors: 1 3 9 41 123 369 2161 6483 19449 88601 265803 660917 797409 1982751 5948253 27097597 81292791 243878373 1428241637 4284724911 12854174733 58557907117 175673721351 527021164053