130053433525253 has 24 divisors (see below), whose sum is σ = 154226704152600. Its totient is φ = 109310349657600.

The previous prime is 130053433525243. The next prime is 130053433525273. The reversal of 130053433525253 is 352525334350031.

It can be written as a sum of positive squares in 4 ways, for example, as 1947300238849 + 128106133286404 = 1395457^2 + 11318398^2 .

It is not a de Polignac number, because 130053433525253 - 2⁸ = 130053433524997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130053433525243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9225728 + ... + 18580121.

It is an arithmetic number, because the mean of its divisors is an integer number (6426112673025).

Almost surely, 2^{130053433525253} is an apocalyptic number.

It is an amenable number.

130053433525253 is a deficient number, since it is larger than the sum of its proper divisors (24173270627347).

130053433525253 is a wasteful number, since it uses less digits than its factorization.

130053433525253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27807717 (or 27807710 counting only the distinct ones).

The product of its (nonzero) digits is 2430000, while the sum is 44.

Adding to 130053433525253 its reverse (352525334350031), we get a palindrome (482578767875284).

The spelling of 130053433525253 in words is "one hundred thirty trillion, fifty-three billion, four hundred thirty-three million, five hundred twenty-five thousand, two hundred fifty-three".