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507338506681 is a prime number
BaseRepresentation
bin1110110000111111011…
…10110100000110111001
31210111112021220110220021
413120133232310012321
531303012124203211
61025022412530441
751440215103506
oct7303756640671
91714467813807
10507338506681
111861853a7156
12823aa780a21
1338ac3614716
141a7abad84ad
15d2e5015771
hex761fbb41b9

507338506681 has 2 divisors, whose sum is σ = 507338506682. Its totient is φ = 507338506680.

The previous prime is 507338506637. The next prime is 507338506687. The reversal of 507338506681 is 186605833705.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 503305113600 + 4033393081 = 709440^2 + 63509^2 .

It is a cyclic number.

It is not a de Polignac number, because 507338506681 - 213 = 507338498489 is a prime.

It is a super-2 number, since 2×5073385066812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (507338506687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253669253340 + 253669253341.

It is an arithmetic number, because the mean of its divisors is an integer number (253669253341).

Almost surely, 2507338506681 is an apocalyptic number.

It is an amenable number.

507338506681 is a deficient number, since it is larger than the sum of its proper divisors (1).

507338506681 is an equidigital number, since it uses as much as digits as its factorization.

507338506681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 507338506681 in words is "five hundred seven billion, three hundred thirty-eight million, five hundred six thousand, six hundred eighty-one".