1022400625 has 15 divisors (see below), whose sum is σ = 1278591501. Its totient is φ = 817281000.

The previous prime is 1022400619. The next prime is 1022400649. The reversal of 1022400625 is 5260042201.

The square root of 1022400625 is 31975.

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

1022400625 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 80156209 + 942244416 = 8953^2 + 30696^2 .

It is not a de Polignac number, because 1022400625 - 2¹¹ = 1022398577 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1022400596 and 1022400605.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 798736 + ... + 800014.

Almost surely, 2^1022400625 is an apocalyptic number.

1022400625 is the 31975-th square number.

1022400625 is the 15988-th centered octagonal number.

It is an amenable number.

1022400625 is a deficient number, since it is larger than the sum of its proper divisors (256190876).

1022400625 is an frugal number, since it uses more digits than its factorization.

1022400625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The cubic root of 1022400625 is about 1007.4118044329.

Adding to 1022400625 its reverse (5260042201), we get a palindrome (6282442826).

The spelling of 1022400625 in words is "one billion, twenty-two million, four hundred thousand, six hundred twenty-five".