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25513014231 = 3317531139281
BaseRepresentation
bin10111110000101100…
…011011001111010111
32102212001020102001000
4113300230123033113
5404222312423411
615415344234343
71562144020455
oct276054331727
972761212030
1025513014231
11a902482231
124b4030b9b3
1325378c7133
1413405699d5
159e4c5b956
hex5f0b1b3d7

25513014231 has 64 divisors (see below), whose sum is σ = 41140794240. Its totient is φ = 15565455360.

The previous prime is 25513014223. The next prime is 25513014287. The reversal of 25513014231 is 13241031552.

25513014231 is a `hidden beast` number, since 2 + 5 + 513 + 0 + 142 + 3 + 1 = 666.

It is not a de Polignac number, because 25513014231 - 23 = 25513014223 is a prime.

It is a super-2 number, since 2×255130142312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 25513014195 and 25513014204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25513014931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2744311 + ... + 2753591.

It is an arithmetic number, because the mean of its divisors is an integer number (642824910).

Almost surely, 225513014231 is an apocalyptic number.

25513014231 is a deficient number, since it is larger than the sum of its proper divisors (15627780009).

25513014231 is a wasteful number, since it uses less digits than its factorization.

25513014231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9473 (or 9467 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 25513014231 its reverse (13241031552), we get a palindrome (38754045783).

It can be divided in two parts, 255130 and 14231, that added together give a square (269361 = 5192).

The spelling of 25513014231 in words is "twenty-five billion, five hundred thirteen million, fourteen thousand, two hundred thirty-one".

Divisors: 1 3 9 17 27 51 53 113 153 159 339 459 477 901 1017 1431 1921 2703 3051 5763 5989 8109 9281 17289 17967 24327 27843 51867 53901 83529 101813 157777 161703 250587 305439 473331 491893 916317 1048753 1419993 1475679 2748951 3146259 4259979 4427037 8362181 9438777 13281111 17828801 25086543 28316331 53486403 55583909 75259629 160459209 166751727 225778887 481377627 500255181 944926453 1500765543 2834779359 8504338077 25513014231