Search a number
-
+
52613611631625 = 3531121159528631
BaseRepresentation
bin10111111011010000011111…
…01000011011010000001001
320220021210221001112200220210
423331220033220123100021
523344010134034203000
6303522205353111333
714040131225634342
oct1375501750332011
9226253831480823
1052613611631625
111584534214a800
125a98a540b8549
132348599925535
14cdc725ddb0c9
15613902976350
hex2fda0fa1b409

52613611631625 has 48 divisors (see below), whose sum is σ = 96231600226944. Its totient is φ = 25509629860000.

The previous prime is 52613611631617. The next prime is 52613611631627.

52613611631625 is nontrivially palindromic in base 10.

52613611631625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 52613611631625 - 23 = 52613611631617 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (52613611631627) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 579718941 + ... + 579809690.

It is an arithmetic number, because the mean of its divisors is an integer number (2004825004728).

Almost surely, 252613611631625 is an apocalyptic number.

52613611631625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52613611631625 is a deficient number, since it is larger than the sum of its proper divisors (43617988595319).

52613611631625 is a wasteful number, since it uses less digits than its factorization.

52613611631625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159528671 (or 1159528650 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 48.

It can be divided in two parts, 5261361 and 1631625, that added together give a palindrome (6892986).

The spelling of 52613611631625 in words is "fifty-two trillion, six hundred thirteen billion, six hundred eleven million, six hundred thirty-one thousand, six hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 121 125 165 275 363 375 605 825 1375 1815 3025 4125 9075 15125 45375 1159528631 3478585893 5797643155 12754814941 17392929465 28988215775 38264444823 63774074705 86964647325 140302964351 144941078875 191322224115 318870373525 420908893053 434823236625 701514821755 956611120575 1594351867625 2104544465265 3507574108775 4783055602875 10522722326325 17537870543875 52613611631625