5261459328 has 384 divisors, whose sum is σ = 17153136000. Its totient is φ = 1598994432.

The previous prime is 5261459327. The next prime is 5261459351. The reversal of 5261459328 is 8239541625.

5261459328 is a `hidden beast` number, since 5 + 2 + 614 + 5 + 9 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (518400) is a multiple of the sum of its prime divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5261459327) 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, 17138151 + ... + 17138457.

It is an arithmetic number, because the mean of its divisors is an integer number (44669625).

Almost surely, 2^5261459328 is an apocalyptic number.

5261459328 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5261459328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8576568000).

5261459328 is an abundant number, since it is smaller than the sum of its proper divisors (11891676672).

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

5261459328 is a wasteful number, since it uses less digits than its factorization.

5261459328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 360 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 5261459328 is about 72535.9175029861. The cubic root of 5261459328 is about 1739.2769409529.

The spelling of 5261459328 in words is "five billion, two hundred sixty-one million, four hundred fifty-nine thousand, three hundred twenty-eight".