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531050135 = 57113074493
BaseRepresentation
bin11111101001110…
…010111010010111
31101000021010211112
4133221302322113
52041422101020
6124410125235
716105565060
oct3751627227
91330233745
10531050135
11252844910
12129a2081b
1386037065
1450759567
153194d2c5
hex1fa72e97

531050135 has 32 divisors (see below), whose sum is σ = 797271552. Its totient is φ = 329892480.

The previous prime is 531050083. The next prime is 531050153.

531050135 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-531050135 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 531050135.

It is a congruent number.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 115949 + ... + 120441.

It is an arithmetic number, because the mean of its divisors is an integer number (24914736).

Almost surely, 2531050135 is an apocalyptic number.

531050135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

531050135 is a deficient number, since it is larger than the sum of its proper divisors (266221417).

531050135 is a wasteful number, since it uses less digits than its factorization.

531050135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4823.

The product of its (nonzero) digits is 1125, while the sum is 23.

The square root of 531050135 is about 23044.5250547717. The cubic root of 531050135 is about 809.8013713032.

The spelling of 531050135 in words is "five hundred thirty-one million, fifty thousand, one hundred thirty-five".

Divisors: 1 5 7 11 35 55 77 307 385 1535 2149 3377 4493 10745 16885 22465 23639 31451 49423 118195 157255 247115 345961 1379351 1729805 6896755 9655457 15172861 48277285 75864305 106210027 531050135