521770032 has 180 divisors, whose sum is σ = 1753358760. Its totient is φ = 148127616.

The previous prime is 521770031. The next prime is 521770037. The reversal of 521770032 is 230077125.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 521769978 and 521770005.

It is not an unprimeable number, because it can be changed into a prime (521770031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3323298 + ... + 3323454.

It is an arithmetic number, because the mean of its divisors is an integer number (9740882).

Almost surely, 2^521770032 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 521770032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876679380).

521770032 is an abundant number, since it is smaller than the sum of its proper divisors (1231588728).

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

521770032 is a wasteful number, since it uses less digits than its factorization.

521770032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 521770032 is about 22842.2860502184. The cubic root of 521770032 is about 805.0565303716.

Multiplying 521770032 by its sum of digits (27), we get a square (14087790864 = 118692²).

521770032 divided by its sum of digits (27) gives a square (19324816 = 4396²).

The spelling of 521770032 in words is "five hundred twenty-one million, seven hundred seventy thousand, thirty-two".