525135072000 has 1152 divisors, whose sum is σ = 2289698611200. Its totient is φ = 103348224000.

The previous prime is 525135071957. The next prime is 525135072017. The reversal of 525135072000 is 270531525.

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 127 ways as a sum of consecutive naturals, for example, 140446131 + ... + 140449869.

It is an arithmetic number, because the mean of its divisors is an integer number (1987585600).

Almost surely, 2^525135072000 is an apocalyptic number.

525135072000 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 525135072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144849305600).

525135072000 is an abundant number, since it is smaller than the sum of its proper divisors (1764563539200).

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

525135072000 is a wasteful number, since it uses less digits than its factorization.

525135072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The spelling of 525135072000 in words is "five hundred twenty-five billion, one hundred thirty-five million, seventy-two thousand".