525303134400 has 672 divisors, whose sum is σ = 1947692482560. Its totient is φ = 122798592000.

The previous prime is 525303134381. The next prime is 525303134413. The reversal of 525303134400 is 4431303525.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 797121271 + ... + 797121929.

Almost surely, 2^525303134400 is an apocalyptic number.

525303134400 is a gapful number since it is divisible by the number (50) 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 525303134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973846241280).

525303134400 is an abundant number, since it is smaller than the sum of its proper divisors (1422389348160).

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

525303134400 is a wasteful number, since it uses less digits than its factorization.

525303134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 525303134400 its reverse (4431303525), we get a palindrome (529734437925).

The spelling of 525303134400 in words is "five hundred twenty-five billion, three hundred three million, one hundred thirty-four thousand, four hundred".