130450270041 has 189 divisors, whose sum is σ = 247186543071. Its totient is φ = 68808933648.

The previous prime is 130450269967. The next prime is 130450270081. The reversal of 130450270041 is 140072054031.

The square root of 130450270041 is 361179.

It is a perfect power (a square), and thus also a powerful number.

130450270041 is a `hidden beast` number, since 1 + 304 + 50 + 270 + 0 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19297377225 + 111152892816 = 138915^2 + 333396^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 130450270041 - 2¹⁹ = 130449745753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 130450269987 and 130450270014.

It is not an unprimeable number, because it can be changed into a prime (130450270081) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 10034636151 + ... + 10034636163.

Almost surely, 2^130450270041 is an apocalyptic number.

130450270041 is the 361179-th square number.

130450270041 is the 180590-th centered octagonal number.

It is an amenable number.

130450270041 is a deficient number, since it is larger than the sum of its proper divisors (116736273030).

130450270041 is an frugal number, since it uses more digits than its factorization.

130450270041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 130450270041 in words is "one hundred thirty billion, four hundred fifty million, two hundred seventy thousand, forty-one".