525105431424 has 480 divisors, whose sum is σ = 1842872882400. Its totient is φ = 147964465152.

The previous prime is 525105431407. The next prime is 525105431471. The reversal of 525105431424 is 424134501525.

525105431424 is a `hidden beast` number, since 52 + 51 + 0 + 543 + 14 + 2 + 4 = 666.

It is a super-2 number, since 2×525105431424² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 37079257 + ... + 37093415.

It is an arithmetic number, because the mean of its divisors is an integer number (3839318505).

Almost surely, 2^525105431424 is an apocalyptic number.

525105431424 is a gapful number since it is divisible by the number (54) 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 525105431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921436441200).

525105431424 is an abundant number, since it is smaller than the sum of its proper divisors (1317767450976).

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

525105431424 is a wasteful number, since it uses less digits than its factorization.

525105431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14272 (or 14244 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 525105431424 its reverse (424134501525), we get a palindrome (949239932949).

The spelling of 525105431424 in words is "five hundred twenty-five billion, one hundred five million, four hundred thirty-one thousand, four hundred twenty-four".