1048788225 has 81 divisors (see below), whose sum is σ = 2011332297. Its totient is φ = 522305280.

The previous prime is 1048788211. The next prime is 1048788269. The reversal of 1048788225 is 5228878401.

1048788225 = 1³ + 2³ + ... + 254³.

It is a happy number.

The square root of 1048788225 is 32385.

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 24532209 + 1024256016 = 4953^2 + 32004^2 .

It is not a de Polignac number, because 1048788225 - 2⁹ = 1048787713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

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, 8258112 + ... + 8258238.

Almost surely, 2^1048788225 is an apocalyptic number.

1048788225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1048788225 is the 32385-th square number.

1048788225 is the 16193-rd centered octagonal number.

It is an amenable number.

1048788225 is a deficient number, since it is larger than the sum of its proper divisors (962544072).

1048788225 is a wasteful number, since it uses less digits than its factorization.

1048788225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The cubic root of 1048788225 is about 1016.0052083066.

The spelling of 1048788225 in words is "one billion, forty-eight million, seven hundred eighty-eight thousand, two hundred twenty-five".