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523757363751331 is a prime number
BaseRepresentation
bin111011100010110101100001…
…1100111010110100110100011
32112200110201022012211022200221
41313011223003213112212203
51022122220040110020311
65053534451121023511
7215215135506061633
oct16705530347264643
92480421265738627
10523757363751331
11141981283569626
124a8ab829484b97
1319633152179578
149349dc51ac6c3
1540841e7142671
hex1dc5ac39d69a3

523757363751331 has 2 divisors, whose sum is σ = 523757363751332. Its totient is φ = 523757363751330.

The previous prime is 523757363751329. The next prime is 523757363751343. The reversal of 523757363751331 is 133157363757325.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 523757363751331 - 21 = 523757363751329 is a prime.

It is a super-2 number, since 2×5237573637513312 (a number of 30 digits) contains 22 as substring.

Together with 523757363751329, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 523757363751331.

It is not a weakly prime, because it can be changed into another prime (523757363751311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 261878681875665 + 261878681875666.

It is an arithmetic number, because the mean of its divisors is an integer number (261878681875666).

Almost surely, 2523757363751331 is an apocalyptic number.

523757363751331 is a deficient number, since it is larger than the sum of its proper divisors (1).

523757363751331 is an equidigital number, since it uses as much as digits as its factorization.

523757363751331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 125023500, while the sum is 61.

The spelling of 523757363751331 in words is "five hundred twenty-three trillion, seven hundred fifty-seven billion, three hundred sixty-three million, seven hundred fifty-one thousand, three hundred thirty-one".