1038473093025 has 81 divisors (see below), whose sum is σ = 1907644814283. Its totient is φ = 540017625600.

The previous prime is 1038473093011. The next prime is 1038473093041. The reversal of 1038473093025 is 5203903748301.

The square root of 1038473093025 is 1019055.

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

1038473093025 is a `hidden beast` number, since 1 + 0 + 38 + 4 + 7 + 309 + 302 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1026754597521 + 11718495504 = 1013289^2 + 108252^2 .

It is not a de Polignac number, because 1038473093025 - 2⁹ = 1038473092513 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 626717997 + ... + 626719653.

Almost surely, 2^{1038473093025} is an apocalyptic number.

1038473093025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1038473093025 is the 1019055-th square number.

1038473093025 is the 509528-th centered octagonal number.

It is an amenable number.

1038473093025 is a deficient number, since it is larger than the sum of its proper divisors (869171721258).

1038473093025 is an frugal number, since it uses more digits than its factorization.

1038473093025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 1038473093025 in words is "one trillion, thirty-eight billion, four hundred seventy-three million, ninety-three thousand, twenty-five".