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513341505 = 32514976561
BaseRepresentation
bin11110100110001…
…111100001000001
31022202221110011100
4132212033201001
52022403412010
6122534405013
715502221315
oct3646174101
91282843140
10513341505
1124384a086
12123b00769
1382476891
144c269b45
15301012c0
hex1e98f841

513341505 has 24 divisors (see below), whose sum is σ = 895775400. Its totient is φ = 271941120.

The previous prime is 513341461. The next prime is 513341509. The reversal of 513341505 is 505143315.

513341505 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5875776 + 507465729 = 2424^2 + 22527^2 .

It is not a de Polignac number, because 513341505 - 27 = 513341377 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (513341509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31576 + ... + 44985.

It is an arithmetic number, because the mean of its divisors is an integer number (37323975).

Almost surely, 2513341505 is an apocalyptic number.

It is an amenable number.

513341505 is a deficient number, since it is larger than the sum of its proper divisors (382433895).

513341505 is a wasteful number, since it uses less digits than its factorization.

513341505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76721 (or 76718 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 513341505 is about 22657.0409586071. The cubic root of 513341505 is about 800.6980911795.

The spelling of 513341505 in words is "five hundred thirteen million, three hundred forty-one thousand, five hundred five".

Divisors: 1 3 5 9 15 45 149 447 745 1341 2235 6705 76561 229683 382805 689049 1148415 3445245 11407589 34222767 57037945 102668301 171113835 513341505