1187936505625 has 15 divisors (see below), whose sum is σ = 1484479507467. Its totient is φ = 950327406000.

The previous prime is 1187936505557. The next prime is 1187936505653. The reversal of 1187936505625 is 5265056397811.

It is a happy number.

The square root of 1187936505625 is 1089925.

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

It can be written as a sum of positive squares in 7 ways, for example, as 1143011159689 + 44925345936 = 1069117^2 + 211956^2 .

It is not a de Polignac number, because 1187936505625 - 2¹⁵ = 1187936472857 is a prime.

It is a super-2 number, since 2×1187936505625² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1187936505625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 27226327 + ... + 27269923.

Almost surely, 2^{1187936505625} is an apocalyptic number.

1187936505625 is the 1089925-th square number.

1187936505625 is the 544963-rd centered octagonal number.

It is an amenable number.

1187936505625 is a deficient number, since it is larger than the sum of its proper divisors (296543001842).

1187936505625 is an frugal number, since it uses more digits than its factorization.

1187936505625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87214 (or 43602 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 58.

The spelling of 1187936505625 in words is "one trillion, one hundred eighty-seven billion, nine hundred thirty-six million, five hundred five thousand, six hundred twenty-five".