1038534237225 has 27 divisors (see below), whose sum is σ = 1860157591383. Its totient is φ = 553876773840.

The previous prime is 1038534237217. The next prime is 1038534237229. The reversal of 1038534237225 is 5227324358301.

It is a happy number.

The square root of 1038534237225 is 1019085.

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

1038534237225 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 534 + 23 + 72 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 373872325401 + 664661911824 = 611451^2 + 815268^2 .

It is not a de Polignac number, because 1038534237225 - 2³ = 1038534237217 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1038534237229) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 15252306 + ... + 15320244.

Almost surely, 2^{1038534237225} is an apocalyptic number.

1038534237225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1038534237225 is the 1019085-th square number.

1038534237225 is the 509543-rd centered octagonal number.

It is an amenable number.

1038534237225 is a deficient number, since it is larger than the sum of its proper divisors (821623354158).

1038534237225 is an frugal number, since it uses more digits than its factorization.

1038534237225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135894 (or 67947 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 1038534237225 in words is "one trillion, thirty-eight billion, five hundred thirty-four million, two hundred thirty-seven thousand, two hundred twenty-five".