5154006000 has 320 divisors, whose sum is σ = 19524750336. Its totient is φ = 1153152000.

The previous prime is 5154005981. The next prime is 5154006001. The reversal of 5154006000 is 6004515.

It is a happy number.

It is a super-3 number, since 3×5154006000³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5154006001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 854997 + ... + 861003.

Almost surely, 2^5154006000 is an apocalyptic number.

5154006000 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 5154006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9762375168).

5154006000 is an abundant number, since it is smaller than the sum of its proper divisors (14370744336).

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

5154006000 is a wasteful number, since it uses less digits than its factorization.

5154006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6057 (or 6041 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 5154006000 is about 71791.4061709339. The cubic root of 5154006000 is about 1727.3551531219.

The spelling of 5154006000 in words is "five billion, one hundred fifty-four million, six thousand".