5129663000 has 384 divisors, whose sum is σ = 15775119360. Its totient is φ = 1542240000.

The previous prime is 5129662991. The next prime is 5129663009. The reversal of 5129663000 is 3669215.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5129662991) and next prime (5129663009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5129663009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16708847 + ... + 16709153.

It is an arithmetic number, because the mean of its divisors is an integer number (41081040).

Almost surely, 2^5129663000 is an apocalyptic number.

5129663000 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 5129663000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7887559680).

5129663000 is an abundant number, since it is smaller than the sum of its proper divisors (10645456360).

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

5129663000 is a wasteful number, since it uses less digits than its factorization.

5129663000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 5129663000 is about 71621.6657164576. The cubic root of 5129663000 is about 1724.6313571973.

The spelling of 5129663000 in words is "five billion, one hundred twenty-nine million, six hundred sixty-three thousand".