1011905224225 has 81 divisors (see below), whose sum is σ = 1498227759723. Its totient is φ = 675988320000.

The previous prime is 1011905224171. The next prime is 1011905224259. The reversal of 1011905224225 is 5224225091101.

The square root of 1011905224225 is 1005935.

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

It can be written as a sum of positive squares in 13 ways, for example, as 792101780001 + 219803444224 = 890001^2 + 468832^2 .

It is not a de Polignac number, because 1011905224225 - 2³⁵ = 977545485857 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1443516375 + ... + 1443517075.

Almost surely, 2^{1011905224225} is an apocalyptic number.

1011905224225 is the 1005935-th square number.

1011905224225 is the 502968-th centered octagonal number.

It is an amenable number.

1011905224225 is a deficient number, since it is larger than the sum of its proper divisors (486322535498).

1011905224225 is an frugal number, since it uses more digits than its factorization.

1011905224225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 1011905224225 in words is "one trillion, eleven billion, nine hundred five million, two hundred twenty-four thousand, two hundred twenty-five".