1131006617457 has 16 divisors (see below), whose sum is σ = 1577330012160. Its totient is φ = 719500300112.

The previous prime is 1131006617449. The next prime is 1131006617473. The reversal of 1131006617457 is 7547166001311.

It is not a de Polignac number, because 1131006617457 - 2³ = 1131006617449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1131006617407) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19531233 + ... + 19589054.

It is an arithmetic number, because the mean of its divisors is an integer number (98583125760).

Almost surely, 2^{1131006617457} is an apocalyptic number.

It is an amenable number.

1131006617457 is a deficient number, since it is larger than the sum of its proper divisors (446323394703).

1131006617457 is a wasteful number, since it uses less digits than its factorization.

1131006617457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39120732.

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 1131006617457 in words is "one trillion, one hundred thirty-one billion, six million, six hundred seventeen thousand, four hundred fifty-seven".