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131012525 = 5272106949
BaseRepresentation
bin1111100111100…
…01011110101101
3100010112010101202
413303301132231
5232014400100
621000015245
73150405500
oct763613655
9303463352
10131012525
1167a53716
1237a61525
13211b1607
1413585137
15b77d7d5
hex7cf17ad

131012525 has 18 divisors (see below), whose sum is σ = 188980650. Its totient is φ = 89836320.

The previous prime is 131012521. The next prime is 131012533. The reversal of 131012525 is 525210131.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9616201 + 121396324 = 3101^2 + 11018^2 .

It is not a de Polignac number, because 131012525 - 22 = 131012521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131012497 and 131012506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012521) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52250 + ... + 54699.

It is an arithmetic number, because the mean of its divisors is an integer number (10498925).

Almost surely, 2131012525 is an apocalyptic number.

It is an amenable number.

131012525 is a deficient number, since it is larger than the sum of its proper divisors (57968125).

131012525 is a wasteful number, since it uses less digits than its factorization.

131012525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106973 (or 106961 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 131012525 is about 11446.0702863472. The cubic root of 131012525 is about 507.8914933998.

Adding to 131012525 its reverse (525210131), we get a palindrome (656222656).

The spelling of 131012525 in words is "one hundred thirty-one million, twelve thousand, five hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 106949 534745 748643 2673725 3743215 5240501 18716075 26202505 131012525