5213520000 has 480 divisors, whose sum is σ = 20225385180. Its totient is φ = 1281024000.

The previous prime is 5213519981. The next prime is 5213520023. The reversal of 5213520000 is 253125.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 2274145344 + 2939374656 = 47688^2 + 54216^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9359722 + ... + 9360278.

Almost surely, 2^5213520000 is an apocalyptic number.

5213520000 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 5213520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10112692590).

5213520000 is an abundant number, since it is smaller than the sum of its proper divisors (15011865180).

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

5213520000 is a wasteful number, since it uses less digits than its factorization.

5213520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5213520000 is about 72204.7089877108. The cubic root of 5213520000 is about 1733.9783923905.

Adding to 5213520000 its reverse (253125), we get a palindrome (5213773125).

The spelling of 5213520000 in words is "five billion, two hundred thirteen million, five hundred twenty thousand".