525144441525 has 96 divisors (see below), whose sum is σ = 982695960576. Its totient is φ = 245148960000.

The previous prime is 525144441509. The next prime is 525144441557.

525144441525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 525144441525 - 2⁴ = 525144441509 is a prime.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4986160 + ... + 5090390.

It is an arithmetic number, because the mean of its divisors is an integer number (10236416256).

Almost surely, 2^525144441525 is an apocalyptic number.

525144441525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

525144441525 is a deficient number, since it is larger than the sum of its proper divisors (457551519051).

525144441525 is a wasteful number, since it uses less digits than its factorization.

525144441525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104483 (or 104478 counting only the distinct ones).

The product of its digits is 640000, while the sum is 42.

It can be divided in two parts, 525144 and 441525, that added together give a palindrome (966669).

The spelling of 525144441525 in words is "five hundred twenty-five billion, one hundred forty-four million, four hundred forty-one thousand, five hundred twenty-five".