131525210330505 has 128 divisors (see below), whose sum is σ = 252292777228800. Its totient is φ = 64763362639872.

The previous prime is 131525210330467. The next prime is 131525210330531. The reversal of 131525210330505 is 505033012525131.

131525210330505 is a `hidden beast` number, since 1 + 3 + 1 + 52 + 521 + 0 + 3 + 30 + 50 + 5 = 666.

It is not a de Polignac number, because 131525210330505 - 2⁶ = 131525210330441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131525210330505.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 708674361 + ... + 708859929.

It is an arithmetic number, because the mean of its divisors is an integer number (1971037322100).

Almost surely, 2^{131525210330505} is an apocalyptic number.

131525210330505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131525210330505 is a deficient number, since it is larger than the sum of its proper divisors (120767566898295).

131525210330505 is a wasteful number, since it uses less digits than its factorization.

131525210330505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191480 (or 191474 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

Adding to 131525210330505 its reverse (505033012525131), we get a palindrome (636558222855636).

The spelling of 131525210330505 in words is "one hundred thirty-one trillion, five hundred twenty-five billion, two hundred ten million, three hundred thirty thousand, five hundred five".