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580175013 = 311192311571
BaseRepresentation
bin100010100101001…
…100010010100101
31111102200221111110
4202211030102211
52142011100023
6133323055233
720243256225
oct4245142245
91442627443
10580175013
11278548090
12142371519
1393277032
14570a6085
1535e03a93
hex2294c4a5

580175013 has 48 divisors (see below), whose sum is σ = 919959552. Its totient is φ = 322164000.

The previous prime is 580174981. The next prime is 580175041. The reversal of 580175013 is 310571085.

It is not a de Polignac number, because 580175013 - 25 = 580174981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580175053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368518 + ... + 370088.

It is an arithmetic number, because the mean of its divisors is an integer number (19165824).

Almost surely, 2580175013 is an apocalyptic number.

It is an amenable number.

580175013 is a deficient number, since it is larger than the sum of its proper divisors (339784539).

580175013 is a wasteful number, since it uses less digits than its factorization.

580175013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The square root of 580175013 is about 24086.8223931676. The cubic root of 580175013 is about 834.0389641291.

The spelling of 580175013 in words is "five hundred eighty million, one hundred seventy-five thousand, thirteen".

Divisors: 1 3 11 19 31 33 57 93 209 341 361 589 627 1023 1083 1571 1767 3971 4713 6479 11191 11913 17281 19437 29849 33573 48701 51843 89547 123101 146103 328339 369303 535711 567131 925319 985017 1607133 1701393 2775957 6238441 10178509 17581061 18715323 30535527 52743183 193391671 580175013