5034234564100 has 405 divisors, whose sum is σ = 13506339849471. Its totient is φ = 1628394969600.

The previous prime is 5034234564059. The next prime is 5034234564179. The reversal of 5034234564100 is 14654324305.

The square root of 5034234564100 is 2243710.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 74919353796 + 4959315210304 = 273714^2 + 2226952^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5034234564100.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 20888939980 + ... + 20888940220.

Almost surely, 2^{5034234564100} is an apocalyptic number.

5034234564100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5034234564100 is the 2243710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5034234564100

5034234564100 is an abundant number, since it is smaller than the sum of its proper divisors (8472105285371).

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

5034234564100 is an equidigital number, since it uses as much as digits as its factorization.

5034234564100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 5034234564100 its reverse (14654324305), we get a palindrome (5048888888405).

The spelling of 5034234564100 in words is "five trillion, thirty-four billion, two hundred thirty-four million, five hundred sixty-four thousand, one hundred".