521825472 has 336 divisors, whose sum is σ = 1894344192. Its totient is φ = 133816320.

The previous prime is 521825461. The next prime is 521825477. The reversal of 521825472 is 274528125.

It is a happy number.

521825472 is a `hidden beast` number, since 5 + 2 + 182 + 5 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521825477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1576347 + ... + 1576677.

Almost surely, 2^521825472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 521825472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947172096).

521825472 is an abundant number, since it is smaller than the sum of its proper divisors (1372518720).

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

521825472 is a wasteful number, since it uses less digits than its factorization.

521825472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 383 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 521825472 is about 22843.4995567667. The cubic root of 521825472 is about 805.0850427753.

The spelling of 521825472 in words is "five hundred twenty-one million, eight hundred twenty-five thousand, four hundred seventy-two".