1398247125625 has 135 divisors (see below), whose sum is σ = 2114091540561. Its totient is φ = 921762912000.

The previous prime is 1398247125607. The next prime is 1398247125641. The reversal of 1398247125625 is 5265217428931.

It is a happy number.

The square root of 1398247125625 is 1182475.

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

It can be written as a sum of positive squares in 22 ways, for example, as 981742107241 + 416505018384 = 990829^2 + 645372^2 .

It is not a de Polignac number, because 1398247125625 - 2¹⁹ = 1398246601337 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6001060509 + ... + 6001060741.

Almost surely, 2^{1398247125625} is an apocalyptic number.

1398247125625 is the 1182475-th square number.

1398247125625 is the 591238-th centered octagonal number.

It is an amenable number.

1398247125625 is a deficient number, since it is larger than the sum of its proper divisors (715844414936).

1398247125625 is an frugal number, since it uses more digits than its factorization.

1398247125625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 274 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 55.

The spelling of 1398247125625 in words is "one trillion, three hundred ninety-eight billion, two hundred forty-seven million, one hundred twenty-five thousand, six hundred twenty-five".