1005307022500 has 135 divisors (see below), whose sum is σ = 2417755322983. Its totient is φ = 365365660000.

The previous prime is 1005307022449. The next prime is 1005307022507. The reversal of 1005307022500 is 52207035001.

The square root of 1005307022500 is 1002650.

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

1005307022500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 78816070564 + 926490951936 = 280742^2 + 962544^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1005307022507) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 551456589 + ... + 551458411.

Almost surely, 2^{1005307022500} is an apocalyptic number.

1005307022500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005307022500 is the 1002650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005307022500

1005307022500 is an abundant number, since it is smaller than the sum of its proper divisors (1412448300483).

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

1005307022500 is an frugal number, since it uses more digits than its factorization.

1005307022500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3692 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

Multiplying 1005307022500 by its sum of digits (25), we get a square (25132675562500 = 5013250²).

1005307022500 divided by its sum of digits (25) gives a square (40212280900 = 200530²).

The spelling of 1005307022500 in words is "one trillion, five billion, three hundred seven million, twenty-two thousand, five hundred".