Search a number
-
+
130525541325 = 3252593978269
BaseRepresentation
bin111100110001111101…
…1011011001111001101
3110110220112211111210100
41321203323123033031
54114304014310300
6135543531201313
712300354536544
oct1714373331715
9413815744710
10130525541325
11503a02a1103
12213688a6239
13c401a3032a
1464631cd15b
1535de074700
hex1e63edb3cd

130525541325 has 36 divisors (see below), whose sum is σ = 234180229140. Its totient is φ = 69496158720.

The previous prime is 130525541309. The next prime is 130525541371. The reversal of 130525541325 is 523145525031.

130525541325 is a `hidden beast` number, since 1 + 30 + 52 + 5 + 541 + 32 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5343317604 + 125182223721 = 73098^2 + 353811^2 .

It is not a de Polignac number, because 130525541325 - 24 = 130525541309 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 130525541325.

It is a congruent 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, 355710 + ... + 622559.

It is an arithmetic number, because the mean of its divisors is an integer number (6505006365).

Almost surely, 2130525541325 is an apocalyptic number.

130525541325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130525541325 is a deficient number, since it is larger than the sum of its proper divisors (103654687815).

130525541325 is a wasteful number, since it uses less digits than its factorization.

130525541325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978878 (or 978870 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 130525541325 in words is "one hundred thirty billion, five hundred twenty-five million, five hundred forty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 593 1779 2965 5337 8895 14825 26685 44475 133425 978269 2934807 4891345 8804421 14674035 24456725 44022105 73370175 220110525 580113517 1740340551 2900567585 5221021653 8701702755 14502837925 26105108265 43508513775 130525541325