521609088 has 512 divisors, whose sum is σ = 1974067200. Its totient is φ = 117596160.

The previous prime is 521609087. The next prime is 521609117. The reversal of 521609088 is 880906125.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521609083) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8840803 + ... + 8840861.

It is an arithmetic number, because the mean of its divisors is an integer number (3855600).

Almost surely, 2^521609088 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 521609088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987033600).

521609088 is an abundant number, since it is smaller than the sum of its proper divisors (1452458112).

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

521609088 is a wasteful number, since it uses less digits than its factorization.

521609088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 521609088 is about 22838.7628386478. The cubic root of 521609088 is about 804.9737465558.

The spelling of 521609088 in words is "five hundred twenty-one million, six hundred nine thousand, eighty-eight".