1687076265625 has 21 divisors (see below), whose sum is σ = 2109021304963. Its totient is φ = 1349531125000.

The previous prime is 1687076265601. The next prime is 1687076265653. The reversal of 1687076265625 is 5265626707861.

It is a happy number.

The square root of 1687076265625 is 1298875.

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

It can be written as a sum of positive squares in 3 ways, for example, as 1478040768009 + 209035497616 = 1215747^2 + 457204^2 .

It is not a de Polignac number, because 1687076265625 - 2⁹ = 1687076265113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 162354180 + ... + 162364570.

Almost surely, 2^{1687076265625} is an apocalyptic number.

1687076265625 is the 1298875-th square number.

1687076265625 is the 649438-th centered octagonal number.

It is an amenable number.

1687076265625 is a deficient number, since it is larger than the sum of its proper divisors (421945039338).

1687076265625 is an frugal number, since it uses more digits than its factorization.

1687076265625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20812 (or 10396 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 61.

The spelling of 1687076265625 in words is "one trillion, six hundred eighty-seven billion, seventy-six million, two hundred sixty-five thousand, six hundred twenty-five".