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513525151344140 = 225136427373072947
BaseRepresentation
bin111010011000011000110010…
…0001110101010011000001100
32111100020112011201222112212222
41310300301210032222120030
51014302044002221003030
65020102110414114512
7213110652653465615
oct16460614416523014
92440215151875788
10513525151344140
111396968803a7091
12497187461aba38
13190702a2183010
1490b4a6dba6c0c
153e57e7acd33e5
hex1d30c643aa60c

513525151344140 has 48 divisors (see below), whose sum is σ = 1161359065554912. Its totient is φ = 189608929944576.

The previous prime is 513525151344097. The next prime is 513525151344157. The reversal of 513525151344140 is 41443151525315.

It is a junction number, because it is equal to n+sod(n) for n = 513525151344091 and 513525151344100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165575147 + ... + 168648093.

It is an arithmetic number, because the mean of its divisors is an integer number (24194980532394).

Almost surely, 2513525151344140 is an apocalyptic number.

It is an amenable number.

513525151344140 is an abundant number, since it is smaller than the sum of its proper divisors (647833914210772).

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

513525151344140 is a wasteful number, since it uses less digits than its factorization.

513525151344140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715706 (or 3715704 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 44.

The spelling of 513525151344140 in words is "five hundred thirteen trillion, five hundred twenty-five billion, one hundred fifty-one million, three hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 642737 1285474 2570948 3072947 3213685 6145894 6427370 8355581 12291788 12854740 15364735 16711162 30729470 33422324 39948311 41777905 61458940 79896622 83555810 159793244 167111620 199741555 399483110 798966220 1975096735939 3950193471878 7900386943756 9875483679695 19750967359390 25676257567207 39501934718780 51352515134414 102705030268828 128381287836035 256762575672070 513525151344140