5141537600 has 126 divisors (see below), whose sum is σ = 13106123394. Its totient is φ = 1985177600.

The previous prime is 5141537591. The next prime is 5141537627. The reversal of 5141537600 is 67351415.

It can be written as a sum of positive squares in 9 ways, for example, as 392673856 + 4748863744 = 19816^2 + 68912^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1343690 + ... + 1347510.

Almost surely, 2^5141537600 is an apocalyptic number.

5141537600 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 5141537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6553061697).

5141537600 is an abundant number, since it is smaller than the sum of its proper divisors (7964585794).

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

5141537600 is a wasteful number, since it uses less digits than its factorization.

5141537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3901 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 5141537600 is about 71704.5158968387. The cubic root of 5141537600 is about 1725.9611083177.

The spelling of 5141537600 in words is "five billion, one hundred forty-one million, five hundred thirty-seven thousand, six hundred".