5171510121700 has 144 divisors (see below), whose sum is σ = 12226930082640. Its totient is φ = 1887142625280.

The previous prime is 5171510121697. The next prime is 5171510121709. The reversal of 5171510121700 is 71210151715.

It can be written as a sum of positive squares in 24 ways, for example, as 3778793863744 + 1392716257956 = 1943912^2 + 1180134^2 .

It is not an unprimeable number, because it can be changed into a prime (5171510121709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279637654 + ... + 279656146.

It is an arithmetic number, because the mean of its divisors is an integer number (84909236685).

Almost surely, 2^{5171510121700} is an apocalyptic number.

5171510121700 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 5171510121700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6113465041320).

5171510121700 is an abundant number, since it is smaller than the sum of its proper divisors (7055419960940).

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

5171510121700 is a wasteful number, since it uses less digits than its factorization.

5171510121700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21026 (or 21019 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 31.

The spelling of 5171510121700 in words is "five trillion, one hundred seventy-one billion, five hundred ten million, one hundred twenty-one thousand, seven hundred".