521268048 has 240 divisors, whose sum is σ = 1754887680. Its totient is φ = 146717568.

The previous prime is 521268047. The next prime is 521268049. The reversal of 521268048 is 840862125.

It is an interprime number because it is at equal distance from previous prime (521268047) and next prime (521268049).

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 (521268047) 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, 2912023 + ... + 2912201.

It is an arithmetic number, because the mean of its divisors is an integer number (7312032).

Almost surely, 2^521268048 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 521268048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877443840).

521268048 is an abundant number, since it is smaller than the sum of its proper divisors (1233619632).

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

521268048 is a wasteful number, since it uses less digits than its factorization.

521268048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 521268048 is about 22831.2953640392. The cubic root of 521268048 is about 804.7982715334.

The spelling of 521268048 in words is "five hundred twenty-one million, two hundred sixty-eight thousand, forty-eight".