1217590868025 has 405 divisors, whose sum is σ = 2735194251933. Its totient is φ = 533890828800.

The previous prime is 1217590867973. The next prime is 1217590868069. The reversal of 1217590868025 is 5208680957121.

The square root of 1217590868025 is 1103445.

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

1217590868025 is a `hidden beast` number, since 1 + 21 + 7 + 590 + 8 + 6 + 8 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 619461869481 + 598128998544 = 787059^2 + 773388^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 1217590868025 - 2¹⁷ = 1217590736953 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 10775140369 + ... + 10775140481.

Almost surely, 2^{1217590868025} is an apocalyptic number.

1217590868025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1217590868025 is the 1103445-th square number.

1217590868025 is the 551723-rd centered octagonal number.

It is an amenable number.

1217590868025 is an abundant number, since it is smaller than the sum of its proper divisors (1517603383908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1217590868025 is an equidigital number, since it uses as much as digits as its factorization.

1217590868025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 1217590868025 in words is "one trillion, two hundred seventeen billion, five hundred ninety million, eight hundred sixty-eight thousand, twenty-five".