1038868524001 has 135 divisors (see below), whose sum is σ = 1399427292627. Its totient is φ = 770552244000.

The previous prime is 1038868523981. The next prime is 1038868524011. The reversal of 1038868524001 is 1004258688301.

The square root of 1038868524001 is 1019249.

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

It can be written as a sum of positive squares in only one way, i.e., 33782072401 + 1005086451600 = 183799^2 + 1002540^2 .

It is not a de Polignac number, because 1038868524001 - 2⁹ = 1038868523489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1038868524011) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 17030631511 + ... + 17030631571.

Almost surely, 2^{1038868524001} is an apocalyptic number.

1038868524001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1038868524001 is the 1019249-th square number.

1038868524001 is the 509625-th centered octagonal number.

It is an amenable number.

1038868524001 is a deficient number, since it is larger than the sum of its proper divisors (360558768626).

1038868524001 is an frugal number, since it uses more digits than its factorization.

1038868524001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The spelling of 1038868524001 in words is "one trillion, thirty-eight billion, eight hundred sixty-eight million, five hundred twenty-four thousand, one".