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513253527781 is a prime number
BaseRepresentation
bin1110111100000000100…
…10110101000011100101
31211001210112001200102211
413132000102311003211
531402120400342111
61031441352203421
752036621001131
oct7360022650345
91731715050384
10513253527781
11188740266045
128357b699571
1339526bc8ac7
141abad5063c1
15d53e464521
hex77804b50e5

513253527781 has 2 divisors, whose sum is σ = 513253527782. Its totient is φ = 513253527780.

The previous prime is 513253527757. The next prime is 513253527827. The reversal of 513253527781 is 187725352315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 494161197156 + 19092330625 = 702966^2 + 138175^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-513253527781 is a prime.

It is a super-2 number, since 2×5132535277812 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513253527751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256626763890 + 256626763891.

It is an arithmetic number, because the mean of its divisors is an integer number (256626763891).

Almost surely, 2513253527781 is an apocalyptic number.

It is an amenable number.

513253527781 is a deficient number, since it is larger than the sum of its proper divisors (1).

513253527781 is an equidigital number, since it uses as much as digits as its factorization.

513253527781 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1764000, while the sum is 49.

The spelling of 513253527781 in words is "five hundred thirteen billion, two hundred fifty-three million, five hundred twenty-seven thousand, seven hundred eighty-one".