1338984551025 has 81 divisors (see below), whose sum is σ = 2636491019617. Its totient is φ = 649112059200.

The previous prime is 1338984551011. The next prime is 1338984551027. The reversal of 1338984551025 is 5201554898331.

The square root of 1338984551025 is 1157145.

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

1338984551025 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 9 + 84 + 551 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72387364401 + 1266597186624 = 269049^2 + 1125432^2 .

It is not a de Polignac number, because 1338984551025 - 2²³ = 1338976162417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1338984551027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 190925419 + ... + 190932431.

Almost surely, 2^{1338984551025} is an apocalyptic number.

1338984551025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1338984551025 is the 1157145-th square number.

1338984551025 is the 578573-rd centered octagonal number.

It is an amenable number.

1338984551025 is a deficient number, since it is larger than the sum of its proper divisors (1297506468592).

1338984551025 is an frugal number, since it uses more digits than its factorization.

1338984551025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14064 (or 7032 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 1338984551025 in words is "one trillion, three hundred thirty-eight billion, nine hundred eighty-four million, five hundred fifty-one thousand, twenty-five".