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52505300052 = 223229307163819
BaseRepresentation
bin110000111001100011…
…110100110001010100
312000112011222121012200
4300321203310301110
51330012324100202
640042014444500
73536062454352
oct607143646124
9160464877180
1052505300052
11202a3967067
12a213b03730
134c49b066aa
1427813607d2
1515747bae1c
hexc398f4c54

52505300052 has 72 divisors (see below), whose sum is σ = 137746408800. Its totient is φ = 16843111488.

The previous prime is 52505300051. The next prime is 52505300053. The reversal of 52505300052 is 25000350525.

It is an interprime number because it is at equal distance from previous prime (52505300051) and next prime (52505300053).

It is a junction number, because it is equal to n+sod(n) for n = 52505299989 and 52505300025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52505300051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238599 + ... + 402417.

Almost surely, 252505300052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52505300052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68873204400).

52505300052 is an abundant number, since it is smaller than the sum of its proper divisors (85241108748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52505300052 is a wasteful number, since it uses less digits than its factorization.

52505300052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164165 (or 164160 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

Adding to 52505300052 its reverse (25000350525), we get a palindrome (77505650577).

The spelling of 52505300052 in words is "fifty-two billion, five hundred five million, three hundred thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 307 348 522 614 921 1044 1228 1842 2763 3684 5526 8903 11052 17806 26709 35612 53418 80127 106836 160254 163819 320508 327638 491457 655276 982914 1474371 1965828 2948742 4750751 5897484 9501502 14252253 19003004 28504506 42756759 50292433 57009012 85513518 100584866 150877299 171027036 201169732 301754598 452631897 603509196 905263794 1458480557 1810527588 2916961114 4375441671 5833922228 8750883342 13126325013 17501766684 26252650026 52505300052