5041512000 has 504 divisors, whose sum is σ = 20993389560. Its totient is φ = 1151539200.

The previous prime is 5041511977. The next prime is 5041512001. The reversal of 5041512000 is 2151405.

5041512000 is a `hidden beast` number, since 50 + 415 + 1 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1051315776 + 3990196224 = 32424^2 + 63168^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×5041512000² = 50833686492288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5041512001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3527286 + ... + 3528714.

Almost surely, 2^5041512000 is an apocalyptic number.

5041512000 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 5041512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10496694780).

5041512000 is an abundant number, since it is smaller than the sum of its proper divisors (15951877560).

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

5041512000 is a wasteful number, since it uses less digits than its factorization.

5041512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 5041512000 is about 71003.6055422540. The cubic root of 5041512000 is about 1714.6952116979.

Adding to 5041512000 its reverse (2151405), we get a palindrome (5043663405).

The spelling of 5041512000 in words is "five billion, forty-one million, five hundred twelve thousand".