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5205705121 = 37281500693
BaseRepresentation
bin1001101100100100…
…01100000110100001
3111102210110012221101
410312102030012201
541130130030441
62220320154401
7243000522601
oct46622140641
914383405841
105205705121
112231537341
121013468a01
1364c6628b6
1437552ac01
1520703b231
hex13648c1a1

5205705121 has 8 divisors (see below), whose sum is σ = 5365436904. Its totient is φ = 5046975360.

The previous prime is 5205705067. The next prime is 5205705143. The reversal of 5205705121 is 1215075025.

It can be written as a sum of positive squares in 4 ways, for example, as 3342574225 + 1863130896 = 57815^2 + 43164^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 5205705121 - 27 = 5205704993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5205705121.

It is not an unprimeable number, because it can be changed into a prime (5205705151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239950 + ... + 260743.

It is an arithmetic number, because the mean of its divisors is an integer number (670679613).

Almost surely, 25205705121 is an apocalyptic number.

It is an amenable number.

5205705121 is a deficient number, since it is larger than the sum of its proper divisors (159731783).

5205705121 is a wasteful number, since it uses less digits than its factorization.

5205705121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501011.

The product of its (nonzero) digits is 3500, while the sum is 28.

The square root of 5205705121 is about 72150.5725618307. The cubic root of 5205705121 is about 1733.1115687150. Note that the first 3 decimals are identical.

The spelling of 5205705121 in words is "five billion, two hundred five million, seven hundred five thousand, one hundred twenty-one".

Divisors: 1 37 281 10397 500693 18525641 140694733 5205705121