542513353 has 16 divisors (see below), whose sum is σ = 585824400. Its totient is φ = 501329920.

The previous prime is 542513317. The next prime is 542513359. The reversal of 542513353 is 353315245.

It can be written as a sum of positive squares in 8 ways, for example, as 45535504 + 496977849 = 6748^2 + 22293^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-542513353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (542513359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58713 + ... + 67321.

It is an arithmetic number, because the mean of its divisors is an integer number (36614025).

Almost surely, 2^542513353 is an apocalyptic number.

542513353 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

542513353 is a deficient number, since it is larger than the sum of its proper divisors (43311047).

542513353 is a wasteful number, since it uses less digits than its factorization.

542513353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8732.

The product of its digits is 27000, while the sum is 31.

The square root of 542513353 is about 23291.9160439840. The cubic root of 542513353 is about 815.5867169203.

Adding to 542513353 its reverse (353315245), we get a palindrome (895828598).

The spelling of 542513353 in words is "five hundred forty-two million, five hundred thirteen thousand, three hundred fifty-three".