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513039345 = 357131722109
BaseRepresentation
bin11110100101000…
…101101111110001
31022202101002200020
4132211011233301
52022314224340
6122524114053
715466522350
oct3645055761
91282332606
10513039345
11243663065
12123995929
138239c1a0
144c1cb997
15300919d0
hex1e945bf1

513039345 has 64 divisors (see below), whose sum is σ = 1069770240. Its totient is φ = 203747328.

The previous prime is 513039337. The next prime is 513039353. The reversal of 513039345 is 543930315.

It is an interprime number because it is at equal distance from previous prime (513039337) and next prime (513039353).

It is not a de Polignac number, because 513039345 - 23 = 513039337 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12151 + ... + 34259.

It is an arithmetic number, because the mean of its divisors is an integer number (16715160).

Almost surely, 2513039345 is an apocalyptic number.

It is an amenable number.

513039345 is an abundant number, since it is smaller than the sum of its proper divisors (556730895).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513039345 is a wasteful number, since it uses less digits than its factorization.

513039345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22154.

The product of its (nonzero) digits is 24300, while the sum is 33.

The square root of 513039345 is about 22650.3718512522. The cubic root of 513039345 is about 800.5409596417.

The spelling of 513039345 in words is "five hundred thirteen million, thirty-nine thousand, three hundred forty-five".

Divisors: 1 3 5 7 13 15 17 21 35 39 51 65 85 91 105 119 195 221 255 273 357 455 595 663 1105 1365 1547 1785 3315 4641 7735 22109 23205 66327 110545 154763 287417 331635 375853 464289 773815 862251 1127559 1437085 1879265 2011919 2321445 2630971 4311255 4886089 5637795 6035757 7892913 10059595 13154855 14658267 24430445 30178785 34202623 39464565 73291335 102607869 171013115 513039345