525945627900 has 1728 divisors, whose sum is σ = 2240640589824. Its totient is φ = 103856256000.

The previous prime is 525945627881. The next prime is 525945627901. The reversal of 525945627900 is 9726549525.

525945627900 is a `hidden beast` number, since 5 + 2 + 5 + 9 + 4 + 5 + 627 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525945627901) 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 575 ways as a sum of consecutive naturals, for example, 4915379647 + ... + 4915379753.

It is an arithmetic number, because the mean of its divisors is an integer number (1296667008).

Almost surely, 2^525945627900 is an apocalyptic number.

525945627900 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 525945627900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120320294912).

525945627900 is an abundant number, since it is smaller than the sum of its proper divisors (1714694961924).

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

525945627900 is a wasteful number, since it uses less digits than its factorization.

525945627900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 525945627900 in words is "five hundred twenty-five billion, nine hundred forty-five million, six hundred twenty-seven thousand, nine hundred".