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542080513 = 13217188681
BaseRepresentation
bin100000010011110…
…111111000000001
31101210000112200001
4200103313320001
52102233034023
6125442400001
716301415442
oct4023677001
91353015601
10542080513
11258a99127
12131660001
13883c9900
1451dcb2c9
15328cb6ad
hex204f7e01

542080513 has 12 divisors (see below), whose sum is σ = 621518508. Its totient is φ = 470945280.

The previous prime is 542080501. The next prime is 542080519. The reversal of 542080513 is 315080245.

It can be written as a sum of positive squares in 6 ways, for example, as 10870209 + 531210304 = 3297^2 + 23048^2 .

It is not a de Polignac number, because 542080513 - 25 = 542080481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (542080519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91468 + ... + 97213.

It is an arithmetic number, because the mean of its divisors is an integer number (51793209).

Almost surely, 2542080513 is an apocalyptic number.

It is an amenable number.

542080513 is a deficient number, since it is larger than the sum of its proper divisors (79437995).

542080513 is a wasteful number, since it uses less digits than its factorization.

542080513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188724 (or 188711 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 542080513 is about 23282.6225541712. The cubic root of 542080513 is about 815.3697560667.

The spelling of 542080513 in words is "five hundred forty-two million, eighty thousand, five hundred thirteen".

Divisors: 1 13 17 169 221 2873 188681 2452853 3207577 31887089 41698501 542080513