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131313525 = 35271714713
BaseRepresentation
bin1111101001110…
…10111101110101
3100011002102021220
413310322331311
5232104013100
621010300553
73153101160
oct764727565
9304072256
10131313525
1168139882
1237b87759
1321288615
1413622ad7
15b7dcaa0
hex7d3af75

131313525 has 48 divisors (see below), whose sum is σ = 262733184. Its totient is φ = 56494080.

The previous prime is 131313521. The next prime is 131313587. The reversal of 131313525 is 525313131.

It is not a de Polignac number, because 131313525 - 22 = 131313521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131313495 and 131313504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131313521) 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 47 ways as a sum of consecutive naturals, for example, 1569 + ... + 16281.

It is an arithmetic number, because the mean of its divisors is an integer number (5473608).

Almost surely, 2131313525 is an apocalyptic number.

131313525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131313525 is an abundant number, since it is smaller than the sum of its proper divisors (131419659).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131313525 is a wasteful number, since it uses less digits than its factorization.

131313525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14750 (or 14745 counting only the distinct ones).

The product of its digits is 1350, while the sum is 24.

The square root of 131313525 is about 11459.2113602988. The cubic root of 131313525 is about 508.2801544895.

Adding to 131313525 its reverse (525313131), we get a palindrome (656626656).

The spelling of 131313525 in words is "one hundred thirty-one million, three hundred thirteen thousand, five hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 51 75 85 105 119 175 255 357 425 525 595 1275 1785 2975 8925 14713 44139 73565 102991 220695 250121 308973 367825 514955 750363 1103475 1250605 1544865 1750847 2574775 3751815 5252541 6253025 7724325 8754235 18759075 26262705 43771175 131313525