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52257744775225 = 5211236174776137
BaseRepresentation
bin10111110000111001101000…
…10100000110100000111001
320212000210101002021022120001
423320130310110012200321
523322142330130301400
6303050513155233001
714002332426363433
oct1370346424064071
9225023332238501
1052257744775225
1115718426629400
125a3ba98ba8761
132320b65737762
14cc94072d7653
15609525839a6a
hex2f8734506839

52257744775225 has 36 divisors (see below), whose sum is σ = 71245717411932. Its totient is φ = 37995117107200.

The previous prime is 52257744775189. The next prime is 52257744775283.

52257744775225 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 23981598204201 + 28276146571024 = 4897101^2 + 5317532^2 .

It is not a de Polignac number, because 52257744775225 - 219 = 52257744250937 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8553357 + ... + 13329493.

It is an arithmetic number, because the mean of its divisors is an integer number (1979047705887).

Almost surely, 252257744775225 is an apocalyptic number.

52257744775225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52257744775225 is a deficient number, since it is larger than the sum of its proper divisors (18987972636707).

52257744775225 is a wasteful number, since it uses less digits than its factorization.

52257744775225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4779786 (or 4779770 counting only the distinct ones).

The product of its digits is 384160000, while the sum is 64.

The spelling of 52257744775225 in words is "fifty-two trillion, two hundred fifty-seven billion, seven hundred forty-four million, seven hundred seventy-five thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 3025 3617 18085 39787 90425 198935 437657 994675 2188285 4776137 10941425 23880685 52537507 119403425 262687535 577912577 1313437675 2889562885 14447814425 17275287529 86376437645 190028162819 431882188225 950140814095 2090309791009 4750704070475 10451548955045 52257744775225