5261313000 has 256 divisors, whose sum is σ = 17637834240. Its totient is φ = 1300992000.

The previous prime is 5261312989. The next prime is 5261313007. The reversal of 5261313000 is 3131625.

5261313000 = T₂₅₅ + T₂₅₆ + ... + T₃₁₆₀.

It is not an unprimeable number, because it can be changed into a prime (5261313007) 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, 3620274 + ... + 3621726.

It is an arithmetic number, because the mean of its divisors is an integer number (68897790).

Almost surely, 2^5261313000 is an apocalyptic number.

5261313000 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 5261313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8818917120).

5261313000 is an abundant number, since it is smaller than the sum of its proper divisors (12376521240).

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

5261313000 is a wasteful number, since it uses less digits than its factorization.

5261313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 5261313000 is about 72534.9088370558. The cubic root of 5261313000 is about 1739.2608169551.

Adding to 5261313000 its reverse (3131625), we get a palindrome (5264444625).

The spelling of 5261313000 in words is "five billion, two hundred sixty-one million, three hundred thirteen thousand".