1008062500 has 63 divisors (see below), whose sum is σ = 2222608269. Its totient is φ = 400050000.

The previous prime is 1008062467. The next prime is 1008062507. The reversal of 1008062500 is 52608001.

It is a happy number.

The square root of 1008062500 is 31750.

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

It can be written as a sum of positive squares in 3 ways, for example, as 883159524 + 124902976 = 29718^2 + 11176^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1008062507) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 7937437 + ... + 7937563.

Almost surely, 2^1008062500 is an apocalyptic number.

1008062500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1008062500 is the 31750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008062500

1008062500 is an abundant number, since it is smaller than the sum of its proper divisors (1214545769).

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

1008062500 is an frugal number, since it uses more digits than its factorization.

1008062500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The cubic root of 1008062500 is about 1002.6803095224.

The spelling of 1008062500 in words is "one billion, eight million, sixty-two thousand, five hundred".