1001414414225 has 24 divisors (see below), whose sum is σ = 1286739752760. Its totient is φ = 772201579520.

The previous prime is 1001414414183. The next prime is 1001414414227. The reversal of 1001414414225 is 5224144141001.

It can be written as a sum of positive squares in 12 ways, for example, as 351688139089 + 649726275136 = 593033^2 + 806056^2 .

It is not a de Polignac number, because 1001414414225 - 2⁸ = 1001414413969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (1001414414227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 734714 + ... + 1594563.

It is an arithmetic number, because the mean of its divisors is an integer number (53614156365).

Almost surely, 2^{1001414414225} is an apocalyptic number.

It is an amenable number.

1001414414225 is a deficient number, since it is larger than the sum of its proper divisors (285325338535).

1001414414225 is a wasteful number, since it uses less digits than its factorization.

1001414414225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329909 (or 2329904 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

Adding to 1001414414225 its reverse (5224144141001), we get a palindrome (6225558555226).

The spelling of 1001414414225 in words is "one trillion, one billion, four hundred fourteen million, four hundred fourteen thousand, two hundred twenty-five".