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5152287118225 = 521324727432
BaseRepresentation
bin100101011111001110000…
…1111100101001110010001
3200020112221202012021200011
41022332130033211032101
51133403341000240400
614542532241554521
71041145322623432
oct112763417451621
920215852167604
105152287118225
111707088838465
126b266a645a41
132b4b21428400
1413b52cbb1489
158e051eca8ba
hex4af9c3e5391

5152287118225 has 81 divisors (see below), whose sum is σ = 7077940013073. Its totient is φ = 3718801544640.

The previous prime is 5152287118219. The next prime is 5152287118241. The reversal of 5152287118225 is 5228117822515.

The square root of 5152287118225 is 2269865.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1328009626449 + 3824277491776 = 1152393^2 + 1955576^2 .

It is not a de Polignac number, because 5152287118225 - 23 = 5152287118217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 6934437204 + ... + 6934437946.

Almost surely, 25152287118225 is an apocalyptic number.

5152287118225 is the 2269865-th square number.

5152287118225 is the 1134933-rd centered octagonal number.

It is an amenable number.

5152287118225 is a deficient number, since it is larger than the sum of its proper divisors (1925652894848).

5152287118225 is an frugal number, since it uses more digits than its factorization.

5152287118225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 808 counting only the distinct ones).

The product of its digits is 896000, while the sum is 49.

Multiplying 5152287118225 by its sum of digits (49), we get a square (252462068793025 = 158890552).

The spelling of 5152287118225 in words is "five trillion, one hundred fifty-two billion, two hundred eighty-seven million, one hundred eighteen thousand, two hundred twenty-five".

Divisors: 1 5 13 25 47 65 169 235 325 611 743 845 1175 2209 3055 3715 4225 7943 9659 11045 15275 18575 28717 34921 39715 48295 55225 125567 143585 174605 198575 241475 373321 453973 552049 627835 717925 873025 1641287 1866605 2269865 2760245 3139175 5901649 7176637 8206435 9333025 11349325 13801225 21336731 25946303 29508245 35883185 41032175 93296281 106683655 129731515 147541225 179415925 277377503 337301939 466481405 533418275 648657575 1219476241 1386887515 1686509695 2332407025 4384925207 6097381205 6934437575 8432548475 15853191133 21924626035 30486906025 79265955665 109623130175 206091484729 396329778325 1030457423645 5152287118225