1395410625625 has 15 divisors (see below), whose sum is σ = 1743742021593. Its totient is φ = 1116304875000.

The previous prime is 1395410625619. The next prime is 1395410625667. The reversal of 1395410625625 is 5265260145931.

It is a happy number.

The square root of 1395410625625 is 1181275.

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

It can be written as a sum of positive squares in 2 ways, for example, as 109400193049 + 1286010432576 = 330757^2 + 1134024^2 .

It is not a de Polignac number, because 1395410625625 - 2³ = 1395410625617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 29508250 + ... + 29555500.

Almost surely, 2^{1395410625625} is an apocalyptic number.

1395410625625 is the 1181275-th square number.

1395410625625 is the 590638-th centered octagonal number.

It is an amenable number.

1395410625625 is a deficient number, since it is larger than the sum of its proper divisors (348331395968).

1395410625625 is an frugal number, since it uses more digits than its factorization.

1395410625625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94522 (or 47256 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 49.

Multiplying 1395410625625 by its sum of digits (49), we get a square (68375120655625 = 8268925²).

The spelling of 1395410625625 in words is "one trillion, three hundred ninety-five billion, four hundred ten million, six hundred twenty-five thousand, six hundred twenty-five".