5319507000 has 256 divisors, whose sum is σ = 17511137280. Its totient is φ = 1342464000.

The previous prime is 5319506987. The next prime is 5319507019. The reversal of 5319507000 is 7059135.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4370392 + ... + 4371608.

It is an arithmetic number, because the mean of its divisors is an integer number (68402880).

Almost surely, 2^5319507000 is an apocalyptic number.

5319507000 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 5319507000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8755568640).

5319507000 is an abundant number, since it is smaller than the sum of its proper divisors (12191630280).

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

5319507000 is a wasteful number, since it uses less digits than its factorization.

5319507000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 30.

The square root of 5319507000 is about 72934.9504695794. The cubic root of 5319507000 is about 1745.6498210639.

The spelling of 5319507000 in words is "five billion, three hundred nineteen million, five hundred seven thousand".