1347630765625 has 63 divisors (see below), whose sum is σ = 1738199840601. Its totient is φ = 1044787500000.

The previous prime is 1347630765599. The next prime is 1347630765631. The reversal of 1347630765625 is 5265670367431.

The square root of 1347630765625 is 1160875.

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

It can be written as a sum of positive squares in 10 ways, for example, as 1346465499129 + 1165266496 = 1160373^2 + 34136^2 .

It is not a de Polignac number, because 1347630765625 - 2³⁹ = 797874951737 is a prime.

It is a super-2 number, since 2×1347630765625² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 5369046750 + ... + 5369047000.

Almost surely, 2^{1347630765625} is an apocalyptic number.

1347630765625 is the 1160875-th square number.

1347630765625 is the 580438-th centered octagonal number.

It is an amenable number.

1347630765625 is a deficient number, since it is larger than the sum of its proper divisors (390569074976).

1347630765625 is an frugal number, since it uses more digits than its factorization.

1347630765625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 55.

The spelling of 1347630765625 in words is "one trillion, three hundred forty-seven billion, six hundred thirty million, seven hundred sixty-five thousand, six hundred twenty-five".