5259870789525 has 288 divisors, whose sum is σ = 10728603325440. Its totient is φ = 2460617280000.

The previous prime is 5259870789517. The next prime is 5259870789527.

It is a happy number.

5259870789525 is a `hidden beast` number, since 5 + 2 + 5 + 98 + 7 + 0 + 7 + 8 + 9 + 525 = 666.

5259870789525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5259870789525 - 2³ = 5259870789517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5259870789527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4279796611 + ... + 4279797839.

It is an arithmetic number, because the mean of its divisors is an integer number (37252094880).

Almost surely, 2^{5259870789525} is an apocalyptic number.

5259870789525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5259870789525 is an abundant number, since it is smaller than the sum of its proper divisors (5468732535915).

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

5259870789525 is a wasteful number, since it uses less digits than its factorization.

5259870789525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 635040000, while the sum is 72.

The spelling of 5259870789525 in words is "five trillion, two hundred fifty-nine billion, eight hundred seventy million, seven hundred eighty-nine thousand, five hundred twenty-five".