5409275256 has 192 divisors, whose sum is σ = 18942094080. Its totient is φ = 1404967680.

The previous prime is 5409275231. The next prime is 5409275279. The reversal of 5409275256 is 6525729045.

5409275256 is a `hidden beast` number, since 540 + 9 + 2 + 7 + 52 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131620 + ... + 167756.

It is an arithmetic number, because the mean of its divisors is an integer number (98656740).

Almost surely, 2^5409275256 is an apocalyptic number.

5409275256 is a gapful number since it is divisible by the number (56) 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 5409275256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9471047040).

5409275256 is an abundant number, since it is smaller than the sum of its proper divisors (13532818824).

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

5409275256 is a wasteful number, since it uses less digits than its factorization.

5409275256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36176 (or 36160 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 5409275256 is about 73547.7753300533. The cubic root of 5409275256 is about 1755.4145503287.

The spelling of 5409275256 in words is "five billion, four hundred nine million, two hundred seventy-five thousand, two hundred fifty-six".