1236266015625 has 81 divisors (see below), whose sum is σ = 2235916335679. Its totient is φ = 658230000000.

The previous prime is 1236266015563. The next prime is 1236266015713. The reversal of 1236266015625 is 5265106626321.

The square root of 1236266015625 is 1111875.

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

1236266015625 is a `hidden beast` number, since 1 + 2 + 3 + 6 + 2 + 6 + 6 + 0 + 15 + 625 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 132656936841 + 1103609078784 = 364221^2 + 1050528^2 .

It is not a de Polignac number, because 1236266015625 - 2¹⁵ = 1236265982857 is a prime.

It is a super-2 number, since 2×1236266015625² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2084765329 + ... + 2084765921.

Almost surely, 2^{1236266015625} is an apocalyptic number.

1236266015625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1236266015625 is the 1111875-th square number.

1236266015625 is the 555938-th centered octagonal number.

It is an amenable number.

1236266015625 is a deficient number, since it is larger than the sum of its proper divisors (999650320054).

1236266015625 is an frugal number, since it uses more digits than its factorization.

1236266015625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 1236266015625 in words is "one trillion, two hundred thirty-six billion, two hundred sixty-six million, fifteen thousand, six hundred twenty-five".