5211435400 has 96 divisors (see below), whose sum is σ = 12251715840. Its totient is φ = 2061480960.

The previous prime is 5211435377. The next prime is 5211435403. The reversal of 5211435400 is 45341125.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5211435403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11255569 + ... + 11256031.

It is an arithmetic number, because the mean of its divisors is an integer number (127622040).

Almost surely, 2^5211435400 is an apocalyptic number.

5211435400 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 5211435400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6125857920).

5211435400 is an abundant number, since it is smaller than the sum of its proper divisors (7040280440).

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

5211435400 is a wasteful number, since it uses less digits than its factorization.

5211435400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 5211435400 is about 72190.2721978523. The cubic root of 5211435400 is about 1733.7472540405.

Adding to 5211435400 its reverse (45341125), we get a palindrome (5256776525).

The spelling of 5211435400 in words is "five billion, two hundred eleven million, four hundred thirty-five thousand, four hundred".