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5164578225 = 345215972
BaseRepresentation
bin1001100111101010…
…10011010110110001
3111022221001202110000
410303311103112301
541034113000400
62212250500213
7241661122242
oct46365232661
914287052400
105164578225
1122102a7074
121001734669
13643c93161
1436dca2cc9
15203615600
hex133d535b1

5164578225 has 45 divisors (see below), whose sum is σ = 9572578257. Its totient is φ = 2752716960.

The previous prime is 5164578203. The next prime is 5164578229. The reversal of 5164578225 is 5228754615.

The square root of 5164578225 is 71865.

It is a perfect power (a square), and thus also a powerful number.

5164578225 is a `hidden beast` number, since 51 + 6 + 4 + 578 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1030602609 + 4133975616 = 32103^2 + 64296^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 5164578225 - 211 = 5164576177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5164578229) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3233127 + ... + 3234723.

Almost surely, 25164578225 is an apocalyptic number.

5164578225 is the 71865-th square number.

5164578225 is the 35933-rd centered octagonal number.

It is an amenable number.

5164578225 is a deficient number, since it is larger than the sum of its proper divisors (4408000032).

5164578225 is an frugal number, since it uses more digits than its factorization.

5164578225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 1605 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The cubic root of 5164578225 is about 1728.5354333949.

The spelling of 5164578225 in words is "five billion, one hundred sixty-four million, five hundred seventy-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 1597 2025 4791 7985 14373 23955 39925 43119 71865 119775 129357 215595 359325 646785 1077975 2550409 3233925 7651227 12752045 22953681 38256135 63760225 68861043 114768405 191280675 206583129 344305215 573842025 1032915645 1721526075 5164578225