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513000045 = 32552121881
BaseRepresentation
bin11110100100111…
…100001001101101
31022202022002202200
4132210330021231
52022312000140
6122523212113
715466266645
oct3644741155
91282262680
10513000045
11243636588
12123977039
138238732c
144c1bb525
1530085030
hex1e93c26d

513000045 has 24 divisors (see below), whose sum is σ = 890947512. Its totient is φ = 273062400.

The previous prime is 513000023. The next prime is 513000083. The reversal of 513000045 is 540000315.

It can be written as a sum of positive squares in 4 ways, for example, as 9715689 + 503284356 = 3117^2 + 22434^2 .

It is not a de Polignac number, because 513000045 - 28 = 512999789 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 512999991 and 513000027.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12505 + ... + 34385.

It is an arithmetic number, because the mean of its divisors is an integer number (37122813).

Almost surely, 2513000045 is an apocalyptic number.

It is an amenable number.

513000045 is a deficient number, since it is larger than the sum of its proper divisors (377947467).

513000045 is a wasteful number, since it uses less digits than its factorization.

513000045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22413 (or 22410 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 513000045 is about 22649.5042992115. The cubic root of 513000045 is about 800.5205180236.

The spelling of 513000045 in words is "five hundred thirteen million, forty-five", and thus it is an aban number.

Divisors: 1 3 5 9 15 45 521 1563 2605 4689 7815 21881 23445 65643 109405 196929 328215 984645 11400001 34200003 57000005 102600009 171000015 513000045