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505403311057 is a prime number
BaseRepresentation
bin1110101101011000110…
…00101000001111010001
31210022112102111100120021
413112230120220033101
531240031221423212
61024102402543441
751341236155661
oct7265430501721
91708472440507
10505403311057
11185381aa2027
1281b4a667b81
133887570a058
141a666aac1a1
15d2301a4307
hex75ac6283d1

505403311057 has 2 divisors, whose sum is σ = 505403311058. Its totient is φ = 505403311056.

The previous prime is 505403310989. The next prime is 505403311081. The reversal of 505403311057 is 750113304505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 364285880721 + 141117430336 = 603561^2 + 375656^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-505403311057 is a prime.

It is not a weakly prime, because it can be changed into another prime (505403311097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252701655528 + 252701655529.

It is an arithmetic number, because the mean of its divisors is an integer number (252701655529).

Almost surely, 2505403311057 is an apocalyptic number.

It is an amenable number.

505403311057 is a deficient number, since it is larger than the sum of its proper divisors (1).

505403311057 is an equidigital number, since it uses as much as digits as its factorization.

505403311057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31500, while the sum is 34.

The spelling of 505403311057 in words is "five hundred five billion, four hundred three million, three hundred eleven thousand, fifty-seven".