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513430324105425 = 352431027115500263
BaseRepresentation
bin111010010111101100101000…
…0000101011101000011010001
32111022220110102001210201010120
41310233121100011131003101
51014244020300432333200
65015550345033220453
7213101055030324036
oct16457312005350321
92438813361721116
10513430324105425
1113965a639947111
12497022a0861729
131906436c24028c
1490b0235b3938d
153e5577ac789a0
hex1d2f65015d0d1

513430324105425 has 48 divisors (see below), whose sum is σ = 868697291624448. Its totient is φ = 267435320443200.

The previous prime is 513430324105417. The next prime is 513430324105427. The reversal of 513430324105425 is 524501423034315.

It is not a de Polignac number, because 513430324105425 - 23 = 513430324105417 is a prime.

It is a super-2 number, since 2×5134303241054252 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (513430324105427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25373844 + ... + 40874106.

It is an arithmetic number, because the mean of its divisors is an integer number (18097860242176).

Almost surely, 2513430324105425 is an apocalyptic number.

It is an amenable number.

513430324105425 is a deficient number, since it is larger than the sum of its proper divisors (355266967519023).

513430324105425 is a wasteful number, since it uses less digits than its factorization.

513430324105425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15510590 (or 15510585 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 513430324105425 in words is "five hundred thirteen trillion, four hundred thirty billion, three hundred twenty-four million, one hundred five thousand, four hundred twenty-five".

Divisors: 1 3 5 15 25 43 75 129 215 645 1075 3225 10271 30813 51355 154065 256775 441653 770325 1324959 2208265 6624795 11041325 15500263 33123975 46500789 77501315 232503945 387506575 666511309 1162519725 1999533927 3332556545 9997669635 16662782725 49988348175 159203201273 477609603819 796016006365 2388048019095 3980080031825 6845737654739 11940240095475 20537212964217 34228688273695 102686064821085 171143441368475 513430324105425