1339053980625 has 225 divisors, whose sum is σ = 2587591133127. Its totient is φ = 689861448000.

The previous prime is 1339053980623. The next prime is 1339053980653. The reversal of 1339053980625 is 5260893509331.

The square root of 1339053980625 is 1157175.

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

1339053980625 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 0 + 5 + 3 + 9 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 444599569089 + 894454411536 = 666783^2 + 945756^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 1339053980625 - 2¹ = 1339053980623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1339053980623) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 9633481806 + ... + 9633481944.

Almost surely, 2^{1339053980625} is an apocalyptic number.

1339053980625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1339053980625 is the 1157175-th square number.

1339053980625 is the 578588-th centered octagonal number.

It is an amenable number.

1339053980625 is a deficient number, since it is larger than the sum of its proper divisors (1248537152502).

1339053980625 is an frugal number, since it uses more digits than its factorization.

1339053980625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 1339053980625 in words is "one trillion, three hundred thirty-nine billion, fifty-three million, nine hundred eighty thousand, six hundred twenty-five".