1020802500 has 225 divisors, whose sum is σ = 3382285291. Its totient is φ = 268380000.

The previous prime is 1020802459. The next prime is 1020802507. The reversal of 1020802500 is 52080201.

The square root of 1020802500 is 31950.

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

1020802500 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 80030916 + 940771584 = 8946^2 + 30672^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1020802507) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 14377465 + ... + 14377535.

Almost surely, 2^1020802500 is an apocalyptic number.

1020802500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020802500 is the 31950-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020802500

1020802500 is an abundant number, since it is smaller than the sum of its proper divisors (2361482791).

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

1020802500 is an frugal number, since it uses more digits than its factorization.

1020802500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The cubic root of 1020802500 is about 1006.8866320972.

Adding to 1020802500 its reverse (52080201), we get a palindrome (1072882701).

The spelling of 1020802500 in words is "one billion, twenty million, eight hundred two thousand, five hundred".