Search a number
-
+
513024531039 = 33231818145439
BaseRepresentation
bin1110111011100101010…
…01010001101001011111
31211001012120011102222000
413131302221101221133
531401133234443124
61031402532053343
752031140364136
oct7356251215137
91731176142860
10513024531039
11188632a78439
1283516a64253
13394bb62b387
141ab8ad3691d
15d5292cd6c9
hex7772a51a5f

513024531039 has 32 divisors (see below), whose sum is σ = 793142476800. Its totient is φ = 327120884640.

The previous prime is 513024531011. The next prime is 513024531077. The reversal of 513024531039 is 930135420315.

513024531039 is a `hidden beast` number, since 5 + 1 + 302 + 4 + 5 + 310 + 39 = 666.

It is not a de Polignac number, because 513024531039 - 225 = 512990976607 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513024530994 and 513024531012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513024533039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11267682 + ... + 11313120.

It is an arithmetic number, because the mean of its divisors is an integer number (24785702400).

Almost surely, 2513024531039 is an apocalyptic number.

513024531039 is a deficient number, since it is larger than the sum of its proper divisors (280117945761).

513024531039 is a wasteful number, since it uses less digits than its factorization.

513024531039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63652 (or 63646 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 513024531039 in words is "five hundred thirteen billion, twenty-four million, five hundred thirty-one thousand, thirty-nine".

Divisors: 1 3 9 23 27 69 207 621 18181 45439 54543 136317 163629 408951 418163 490887 1045097 1226853 1254489 3135291 3763467 9405873 11290401 28217619 826126459 2478379377 7435138131 19000908557 22305414393 57002725671 171008177013 513024531039