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542501593 is a prime number
BaseRepresentation
bin100000010101011…
…110101011011001
31101210210221021121
4200111132223121
52102340022333
6125455405241
716305121204
oct4025365331
91353727247
10542501593
11259256527
12131823821
138851647a
145209a93b
153296132d
hex2055ead9

542501593 has 2 divisors, whose sum is σ = 542501594. Its totient is φ = 542501592.

The previous prime is 542501563. The next prime is 542501599. The reversal of 542501593 is 395105245.

542501593 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 372798864 + 169702729 = 19308^2 + 13027^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-542501593 is a prime.

It is a super-3 number, since 3×5425015933 (a number of 27 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (542501599) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 271250796 + 271250797.

It is an arithmetic number, because the mean of its divisors is an integer number (271250797).

Almost surely, 2542501593 is an apocalyptic number.

It is an amenable number.

542501593 is a deficient number, since it is larger than the sum of its proper divisors (1).

542501593 is an equidigital number, since it uses as much as digits as its factorization.

542501593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27000, while the sum is 34.

The square root of 542501593 is about 23291.6635945138. The cubic root of 542501593 is about 815.5808237510.

The spelling of 542501593 in words is "five hundred forty-two million, five hundred one thousand, five hundred ninety-three".