5132611400 has 192 divisors, whose sum is σ = 14211590400. Its totient is φ = 1686666240.

The previous prime is 5132611373. The next prime is 5132611409. The reversal of 5132611400 is 41162315.

It is not an unprimeable number, because it can be changed into a prime (5132611409) 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, 6779822 + ... + 6780578.

It is an arithmetic number, because the mean of its divisors is an integer number (74018700).

Almost surely, 2^5132611400 is an apocalyptic number.

5132611400 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 5132611400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7105795200).

5132611400 is an abundant number, since it is smaller than the sum of its proper divisors (9078979000).

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

5132611400 is a wasteful number, since it uses less digits than its factorization.

5132611400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 5132611400 is about 71642.2459167773. The cubic root of 5132611400 is about 1724.9617186772.

Adding to 5132611400 its reverse (41162315), we get a palindrome (5173773715).

It can be divided in two parts, 51326 and 11400, that added together give a palindrome (62726).

The spelling of 5132611400 in words is "five billion, one hundred thirty-two million, six hundred eleven thousand, four hundred".