130052 has 24 divisors (see below), whose sum is σ = 255192. Its totient is φ = 57600.

The previous prime is 130051. The next prime is 130057. The reversal of 130052 is 250031.

130052 = T₂₅₃ + T₂₅₄ + ... + T₂₅₆.

It can be written as a sum of positive squares in 4 ways, for example, as 18496 + 111556 = 136^2 + 334^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2102 + ... + 2162.

It is an arithmetic number, because the mean of its divisors is an integer number (10633).

2¹³⁰⁰⁵² is an apocalyptic number.

It is an amenable number.

130052 is a deficient number, since it is larger than the sum of its proper divisors (125140).

130052 is a wasteful number, since it uses less digits than its factorization.

130052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 130052 is about 360.6272313622. The cubic root of 130052 is about 50.6647236866.

Adding to 130052 its reverse (250031), we get a palindrome (380083).

It can be divided in two parts, 1300 and 52, that multiplied together give a square (67600 = 260²).

The spelling of 130052 in words is "one hundred thirty thousand, fifty-two".