130053252 has 96 divisors (see below), whose sum is σ = 372736000. Its totient is φ = 35181216.

The previous prime is 130053251. The next prime is 130053283. The reversal of 130053252 is 252350031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (130053251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77373 + ... + 79035.

Almost surely, 2^130053252 is an apocalyptic number.

130053252 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 130053252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186368000).

130053252 is an abundant number, since it is smaller than the sum of its proper divisors (242682748).

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

130053252 is a wasteful number, since it uses less digits than its factorization.

130053252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 130053252 is about 11404.0892665745. The cubic root of 130053252 is about 506.6488626785.

It can be divided in two parts, 130053 and 252, that added together give a triangular number (130305 = T₅₁₀).

The spelling of 130053252 in words is "one hundred thirty million, fifty-three thousand, two hundred fifty-two".