1038839985225 has 243 divisors, whose sum is σ = 2303306557461. Its totient is φ = 446180313600.

The previous prime is 1038839985143. The next prime is 1038839985229. The reversal of 1038839985225 is 5225899388301.

The square root of 1038839985225 is 1019235.

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

1038839985225 is a `hidden beast` number, since 10 + 3 + 8 + 8 + 3 + 9 + 98 + 522 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24299509689 + 1014540475536 = 155883^2 + 1007244^2 .

It is not a de Polignac number, because 1038839985225 - 2¹⁷ = 1038839854153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1038839985229) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1819334190 + ... + 1819334760.

Almost surely, 2^{1038839985225} is an apocalyptic number.

1038839985225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1038839985225 is the 1019235-th square number.

1038839985225 is the 509618-th centered octagonal number.

It is an amenable number.

1038839985225 is an abundant number, since it is smaller than the sum of its proper divisors (1264466572236).

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

1038839985225 is an equidigital number, since it uses as much as digits as its factorization.

1038839985225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 1038839985225 in words is "one trillion, thirty-eight billion, eight hundred thirty-nine million, nine hundred eighty-five thousand, two hundred twenty-five".