521953068 has 96 divisors (see below), whose sum is σ = 1503774720. Its totient is φ = 137214720.

The previous prime is 521953067. The next prime is 521953073. The reversal of 521953068 is 860359125.

It is a super-2 number, since 2×521953068² = 544870010389225248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (521953067) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 470098 + ... + 471206.

It is an arithmetic number, because the mean of its divisors is an integer number (15664320).

Almost surely, 2^521953068 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 521953068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751887360).

521953068 is an abundant number, since it is smaller than the sum of its proper divisors (981821652).

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

521953068 is a wasteful number, since it uses less digits than its factorization.

521953068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 521953068 is about 22846.2922155872. The cubic root of 521953068 is about 805.1506568328.

The spelling of 521953068 in words is "five hundred twenty-one million, nine hundred fifty-three thousand, sixty-eight".