130850583552 has 396 divisors, whose sum is σ = 423381542220. Its totient is φ = 38859964416.

The previous prime is 130850583547. The next prime is 130850583553. The reversal of 130850583552 is 255385058031.

130850583552 is a `hidden beast` number, since 13 + 0 + 8 + 5 + 0 + 5 + 83 + 552 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 41655177216 + 89195406336 = 204096^2 + 298656^2 .

It is a junction number, because it is equal to n+sod(n) for n = 130850583498 and 130850583507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130850583553) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45166168 + ... + 45169064.

Almost surely, 2^130850583552 is an apocalyptic number.

130850583552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130850583552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211690771110).

130850583552 is an abundant number, since it is smaller than the sum of its proper divisors (292530958668).

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

130850583552 is a wasteful number, since it uses less digits than its factorization.

130850583552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2978 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 130850583552 in words is "one hundred thirty billion, eight hundred fifty million, five hundred eighty-three thousand, five hundred fifty-two".