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512012412577 is a prime number
BaseRepresentation
bin1110111001101100101…
…00010110011010100001
31210221121000200111110001
413130312110112122201
531342100134200302
61031114254540001
751664100461351
oct7346624263241
91727530614401
10512012412577
111881637278a6
1283293b07601
1339389a3a303
141aad2752b61
15d4ba506787
hex77365166a1

512012412577 has 2 divisors, whose sum is σ = 512012412578. Its totient is φ = 512012412576.

The previous prime is 512012412563. The next prime is 512012412607. The reversal of 512012412577 is 775214210215.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 487749988881 + 24262423696 = 698391^2 + 155764^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-512012412577 is a prime.

It is not a weakly prime, because it can be changed into another prime (512012412277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256006206288 + 256006206289.

It is an arithmetic number, because the mean of its divisors is an integer number (256006206289).

Almost surely, 2512012412577 is an apocalyptic number.

It is an amenable number.

512012412577 is a deficient number, since it is larger than the sum of its proper divisors (1).

512012412577 is an equidigital number, since it uses as much as digits as its factorization.

512012412577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 39200, while the sum is 37.

The spelling of 512012412577 in words is "five hundred twelve billion, twelve million, four hundred twelve thousand, five hundred seventy-seven".