5201007000 has 192 divisors, whose sum is σ = 18877004640. Its totient is φ = 1188768000.

The previous prime is 5201006969. The next prime is 5201007011. The reversal of 5201007000 is 7001025.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129310 + ... + 164690.

Almost surely, 2^5201007000 is an apocalyptic number.

5201007000 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 5201007000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9438502320).

5201007000 is an abundant number, since it is smaller than the sum of its proper divisors (13675997640).

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

5201007000 is a wasteful number, since it uses less digits than its factorization.

5201007000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35419 (or 35398 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 5201007000 is about 72118.0074599957. The cubic root of 5201007000 is about 1732.5900371532.

Adding to 5201007000 its reverse (7001025), we get a palindrome (5208008025).

The spelling of 5201007000 in words is "five billion, two hundred one million, seven thousand".