Search a number
-
+
53540541225 = 32523736071051
BaseRepresentation
bin110001110111010000…
…111101001100101001
312010012022222022010100
4301313100331030221
51334122334304400
640332435340013
73603533043243
oct616720751451
9163168868110
1053540541225
1120785270086
12a462751609
135083432332
14283ca43093
1515d560e100
hexc7743d329

53540541225 has 72 divisors (see below), whose sum is σ = 96404202752. Its totient is φ = 28404432000.

The previous prime is 53540541221. The next prime is 53540541287. The reversal of 53540541225 is 52214504535.

53540541225 is a `hidden beast` number, since 53 + 5 + 40 + 541 + 2 + 25 = 666.

It is not a de Polignac number, because 53540541225 - 22 = 53540541221 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 53540541225.

It is not an unprimeable number, because it can be changed into a prime (53540541221) 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 71 ways as a sum of consecutive naturals, for example, 50941950 + ... + 50943000.

Almost surely, 253540541225 is an apocalyptic number.

It is an amenable number.

53540541225 is a deficient number, since it is larger than the sum of its proper divisors (42863661527).

53540541225 is a wasteful number, since it uses less digits than its factorization.

53540541225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 53540541225 in words is "fifty-three billion, five hundred forty million, five hundred forty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 373 607 1051 1119 1821 1865 3035 3153 3357 5255 5463 5595 9105 9325 9459 15175 15765 16785 26275 27315 27975 45525 47295 78825 83925 136575 226411 236475 392023 637957 679233 1132055 1176069 1913871 1960115 2037699 3189785 3396165 3528207 5660275 5741613 5880345 9569355 9800575 10188495 15948925 16980825 17641035 28708065 29401725 47846775 50942475 88205175 143540325 237957961 713873883 1189789805 2141621649 3569369415 5948949025 10708108245 17846847075 53540541225