1000310024025 has 243 divisors, whose sum is σ = 2037243039741. Its totient is φ = 468936673920.

The previous prime is 1000310023969. The next prime is 1000310024041. The reversal of 1000310024025 is 5204200130001.

The square root of 1000310024025 is 1000155.

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 257831388441 + 742478635584 = 507771^2 + 861672^2 .

It is not a de Polignac number, because 1000310024025 - 2³⁹ = 450554210137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000310023989 and 1000310024007.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 4485695064 + ... + 4485695286.

Almost surely, 2^{1000310024025} is an apocalyptic number.

1000310024025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1000310024025 is the 1000155-th square number.

1000310024025 is the 500078-th centered octagonal number.

It is an amenable number.

1000310024025 is an abundant number, since it is smaller than the sum of its proper divisors (1036933015716).

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

1000310024025 is a wasteful number, since it uses less digits than its factorization.

1000310024025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 1000310024025 its reverse (5204200130001), we get a palindrome (6204510154026).

The spelling of 1000310024025 in words is "one trillion, three hundred ten million, twenty-four thousand, twenty-five".