1012500 has 90 divisors (see below), whose sum is σ = 3308382. Its totient is φ = 270000.

The previous prime is 1012489. The next prime is 1012507. The reversal of 1012500 is 52101.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 467856 + 544644 = 684^2 + 738^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 202498 + ... + 202502.

2^1012500 is an apocalyptic number.

1012500 is a gapful number since it is divisible by the number (10) 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 1012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654191).

1012500 is an abundant number, since it is smaller than the sum of its proper divisors (2295882).

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

1012500 is an frugal number, since it uses more digits than its factorization.

1012500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 1012500 is about 1006.2305898749. The cubic root of 1012500 is about 100.4149425123.

Adding to 1012500 its reverse (52101), we get a palindrome (1064601).

It can be divided in two parts, 101 and 2500, that added together give a square (2601 = 51²).

The spelling of 1012500 in words is "one million, twelve thousand, five hundred".