1029193407225 has 144 divisors (see below), whose sum is σ = 1917463941120. Its totient is φ = 527287449600.

The previous prime is 1029193407211. The next prime is 1029193407247. The reversal of 1029193407225 is 5227043919201.

1029193407225 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 19 + 3 + 407 + 225 = 666.

It is not a de Polignac number, because 1029193407225 - 2⁹ = 1029193406713 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 143 ways as a sum of consecutive naturals, for example, 618876744 + ... + 618878406.

Almost surely, 2^{1029193407225} is an apocalyptic number.

1029193407225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1029193407225 is a deficient number, since it is larger than the sum of its proper divisors (888270533895).

1029193407225 is a wasteful number, since it uses less digits than its factorization.

1029193407225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1029193407225 in words is "one trillion, twenty-nine billion, one hundred ninety-three million, four hundred seven thousand, two hundred twenty-five".