10031024025 has 81 divisors (see below), whose sum is σ = 19781086143. Its totient is φ = 4855514400.

The previous prime is 10031023967. The next prime is 10031024039. The reversal of 10031024025 is 52042013001.

The square root of 10031024025 is 100155.

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

It can be written as a sum of positive squares in only one way, i.e., 3611168649 + 6419855376 = 60093^2 + 80124^2 .

It is not a de Polignac number, because 10031024025 - 2¹¹ = 10031021977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10031023989 and 10031024007.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16525272 + ... + 16525878.

Almost surely, 2^10031024025 is an apocalyptic number.

10031024025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10031024025 is the 100155-th square number.

10031024025 is the 50078-th centered octagonal number.

It is an amenable number.

10031024025 is a deficient number, since it is larger than the sum of its proper divisors (9750062118).

10031024025 is an equidigital number, since it uses as much as digits as its factorization.

10031024025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 626 counting only the distinct ones).

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

Adding to 10031024025 its reverse (52042013001), we get a palindrome (62073037026).

The spelling of 10031024025 in words is "ten billion, thirty-one million, twenty-four thousand, twenty-five".