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506001111149 is a prime number
BaseRepresentation
bin1110101110100000000…
…01000011100001101101
31210101002002100202010102
413113100001003201231
531242242241024044
61024241555520445
751362115323252
oct7272001034155
91711062322112
10506001111149
11185659488096
12820968b9125
133893c515511
141a6c2241429
15d2678da24e
hex75d004386d

506001111149 has 2 divisors, whose sum is σ = 506001111150. Its totient is φ = 506001111148.

The previous prime is 506001111019. The next prime is 506001111157. The reversal of 506001111149 is 941111100605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 399974029225 + 106027081924 = 632435^2 + 325618^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-506001111149 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506001111169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253000555574 + 253000555575.

It is an arithmetic number, because the mean of its divisors is an integer number (253000555575).

Almost surely, 2506001111149 is an apocalyptic number.

It is an amenable number.

506001111149 is a deficient number, since it is larger than the sum of its proper divisors (1).

506001111149 is an equidigital number, since it uses as much as digits as its factorization.

506001111149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 29.

The spelling of 506001111149 in words is "five hundred six billion, one million, one hundred eleven thousand, one hundred forty-nine".