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513245245233140 = 225721730807037529
BaseRepresentation
bin111010010110010110011100…
…0100001100101011111110100
32111022020202200121020211212222
41310230230320201211133310
51014233002230234430030
65015325335522501512
7213051513431011100
oct16454547041453764
92438222617224788
10513245245233140
111395990a4727022
124969244a204898
131904ca85313174
1490a52b95ca900
153e50a477393e5
hex1d2cb388657f4

513245245233140 has 72 divisors (see below), whose sum is σ = 1327536861242760. Its totient is φ = 165618633750528.

The previous prime is 513245245233103. The next prime is 513245245233151. The reversal of 513245245233140 is 41332542542315.

It can be written as a sum of positive squares in 4 ways, for example, as 27754963816804 + 485490281416336 = 5268298^2 + 22033844^2 .

It is a junction number, because it is equal to n+sod(n) for n = 513245245233091 and 513245245233100.

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, 15403502105 + ... + 15403535424.

It is an arithmetic number, because the mean of its divisors is an integer number (18438011961705).

Almost surely, 2513245245233140 is an apocalyptic number.

It is an amenable number.

513245245233140 is an abundant number, since it is smaller than the sum of its proper divisors (814291616009620).

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

513245245233140 is a wasteful number, since it uses less digits than its factorization.

513245245233140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30807037569 (or 30807037560 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 44.

Adding to 513245245233140 its reverse (41332542542315), we get a palindrome (554577787775455).

The spelling of 513245245233140 in words is "five hundred thirteen trillion, two hundred forty-five billion, two hundred forty-five million, two hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4165 8330 16660 30807037529 61614075058 123228150116 154035187645 215649262703 308070375290 431298525406 523719637993 616140750580 862597050812 1047439275986 1078246313515 1509544838921 2094878551972 2156492627030 2618598189965 3019089677842 3666037465951 4312985254060 5237196379930 6038179355684 7332074931902 7547724194605 10474392759860 14664149863804 15095448389210 18330187329755 25662262261657 30190896778420 36660374659510 51324524523314 73320749319020 102649049046628 128311311308285 256622622616570 513245245233140