131501523435552 has 72 divisors (see below), whose sum is σ = 373958908546860. Its totient is φ = 43833671032320.

The previous prime is 131501523435547. The next prime is 131501523435553. The reversal of 131501523435552 is 255534325105131.

131501523435552 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 0 + 1 + 52 + 3 + 43 + 5 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 129685724065296 + 1815799370256 = 11387964^2 + 1347516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 131501523435498 and 131501523435507.

It is not an unprimeable number, because it can be changed into a prime (131501523435553) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89397474 + ... + 90856542.

Almost surely, 2^{131501523435552} is an apocalyptic number.

131501523435552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131501523435552 is an abundant number, since it is smaller than the sum of its proper divisors (242457385111308).

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

131501523435552 is a wasteful number, since it uses less digits than its factorization.

131501523435552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772026 (or 1772015 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

The spelling of 131501523435552 in words is "one hundred thirty-one trillion, five hundred one billion, five hundred twenty-three million, four hundred thirty-five thousand, five hundred fifty-two".