521148564 has 72 divisors (see below), whose sum is σ = 1370923008. Its totient is φ = 166743360.

The previous prime is 521148557. The next prime is 521148571. The reversal of 521148564 is 465841125.

It is a happy number.

521148564 is a `hidden beast` number, since 52 + 1 + 1 + 48 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (521148557) and next prime (521148571).

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

Its product of digits (38400) is a multiple of the sum of its prime divisors (3840).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139894 + ... + 143570.

Almost surely, 2^521148564 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 521148564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685461504).

521148564 is an abundant number, since it is smaller than the sum of its proper divisors (849774444).

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

521148564 is a wasteful number, since it uses less digits than its factorization.

521148564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845 (or 3840 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 521148564 is about 22828.6785425701. The cubic root of 521148564 is about 804.7367754278.

Adding to 521148564 its reverse (465841125), we get a palindrome (986989689).

The spelling of 521148564 in words is "five hundred twenty-one million, one hundred forty-eight thousand, five hundred sixty-four".