5271050400 has 432 divisors, whose sum is σ = 21561244992. Its totient is φ = 1094860800.

The previous prime is 5271050399. The next prime is 5271050401. The reversal of 5271050400 is 40501725.

It is an interprime number because it is at equal distance from previous prime (5271050399) and next prime (5271050401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5271050401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2031504 + ... + 2034096.

Almost surely, 2^5271050400 is an apocalyptic number.

5271050400 is a gapful number since it is divisible by the number (50) 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 5271050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10780622496).

5271050400 is an abundant number, since it is smaller than the sum of its proper divisors (16290194592).

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

5271050400 is a wasteful number, since it uses less digits than its factorization.

5271050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 5271050400 is about 72601.9999724525. Note that the first 4 decimals coincide. The cubic root of 5271050400 is about 1740.3331374295. Note that the first 3 decimals are identical.

The spelling of 5271050400 in words is "five billion, two hundred seventy-one million, fifty thousand, four hundred".