1091220498225 has 243 divisors, whose sum is σ = 2331086490369. Its totient is φ = 487375574400.

The previous prime is 1091220498211. The next prime is 1091220498233. The reversal of 1091220498225 is 5228940221901.

The square root of 1091220498225 is 1044615.

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

1091220498225 is a `hidden beast` number, since 10 + 9 + 122 + 0 + 498 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 281263697649 + 809956800576 = 530343^2 + 899976^2 .

It is not a de Polignac number, because 1091220498225 - 2²⁷ = 1091086280497 is a prime.

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

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 242 ways as a sum of consecutive naturals, for example, 2240698932 + ... + 2240699418.

Almost surely, 2^{1091220498225} is an apocalyptic number.

1091220498225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1091220498225 is the 1044615-th square number.

1091220498225 is the 522308-th centered octagonal number.

It is an amenable number.

1091220498225 is an abundant number, since it is smaller than the sum of its proper divisors (1239865992144).

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

1091220498225 is a wasteful number, since it uses less digits than its factorization.

1091220498225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1091220498225 in words is "one trillion, ninety-one billion, two hundred twenty million, four hundred ninety-eight thousand, two hundred twenty-five".