Search a number
-
+
1053605414025 = 325241106872
BaseRepresentation
bin11110101010011111100…
…01101100010010001001
310201201112120110121100200
433111033301230102021
5114230240441222100
62124004124322413
7136056216152643
oct17251761542211
93651476417320
101053605414025
1137691687495a
121502423a3409
137847bc92a38
1438dcd935893
151c6178dbe00
hexf54fc6c489

1053605414025 has 54 divisors (see below), whose sum is σ = 1933332692382. Its totient is φ = 548166153600.

The previous prime is 1053605413981. The next prime is 1053605414041. The reversal of 1053605414025 is 5204145063501.

1053605414025 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 605 + 4 + 1 + 40 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1027907721 + 1052577506304 = 32061^2 + 1025952^2 .

It is not a de Polignac number, because 1053605414025 - 29 = 1053605413513 is a prime.

It is a super-2 number, since 2×10536054140252 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 98582232 + ... + 98592918.

Almost surely, 21053605414025 is an apocalyptic number.

1053605414025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1053605414025 is a deficient number, since it is larger than the sum of its proper divisors (879727278357).

1053605414025 is an frugal number, since it uses more digits than its factorization.

1053605414025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21431 (or 10736 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 1053605414025 in words is "one trillion, fifty-three billion, six hundred five million, four hundred fourteen thousand, twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 205 225 369 615 1025 1845 3075 9225 10687 32061 53435 96183 160305 267175 438167 480915 801525 1314501 2190835 2404575 3943503 6572505 10954175 19717515 32862525 98587575 114211969 342635907 571059845 1027907721 1713179535 2855299225 4682690729 5139538605 8565897675 14048072187 23413453645 25697693025 42144216561 70240360935 117067268225 210721082805 351201804675 1053605414025