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516525300145 = 51739715306721
BaseRepresentation
bin1111000010000110100…
…11101001100110110001
31211101020112110221101001
413201003103221212301
531430320434101040
61033142145442001
752213656416101
oct7410323514661
91741215427331
10516525300145
1118a06a080048
1284133340301
13399289a6a9a
141adddc55201
15d6817dd59a
hex78434e99b1

516525300145 has 16 divisors (see below), whose sum is σ = 657944138448. Its totient is φ = 387933511680.

The previous prime is 516525300127. The next prime is 516525300149. The reversal of 516525300145 is 541003525615.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 108757486656 + 407767813489 = 329784^2 + 638567^2 .

It is not a de Polignac number, because 516525300145 - 237 = 379086346673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (516525300149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7619616 + ... + 7687105.

It is an arithmetic number, because the mean of its divisors is an integer number (41121508653).

Almost surely, 2516525300145 is an apocalyptic number.

It is an amenable number.

516525300145 is a deficient number, since it is larger than the sum of its proper divisors (141418838303).

516525300145 is a wasteful number, since it uses less digits than its factorization.

516525300145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15307140.

The product of its (nonzero) digits is 90000, while the sum is 37.

The spelling of 516525300145 in words is "five hundred sixteen billion, five hundred twenty-five million, three hundred thousand, one hundred forty-five".

Divisors: 1 5 17 85 397 1985 6749 33745 15306721 76533605 260214257 1301071285 6076768237 30383841185 103305060029 516525300145