130953306 has 64 divisors (see below), whose sum is σ = 300174336. Its totient is φ = 37699200.

The previous prime is 130953293. The next prime is 130953311. The reversal of 130953306 is 603359031.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426405 + ... + 426711.

It is an arithmetic number, because the mean of its divisors is an integer number (4690224).

Almost surely, 2^130953306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130953306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150087168).

130953306 is an abundant number, since it is smaller than the sum of its proper divisors (169221030).

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

130953306 is a wasteful number, since it uses less digits than its factorization.

130953306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627.

The product of its (nonzero) digits is 7290, while the sum is 30.

The square root of 130953306 is about 11443.4831235948. The cubic root of 130953306 is about 507.8149578188.

It can be divided in two parts, 1309 and 53306, that added together give a triangular number (54615 = T₃₃₀).

The spelling of 130953306 in words is "one hundred thirty million, nine hundred fifty-three thousand, three hundred six".