1017661201249 has 16 divisors (see below), whose sum is σ = 1270480112640. Its totient is φ = 791915438160.

The previous prime is 1017661201213. The next prime is 1017661201259. The reversal of 1017661201249 is 9421021667101.

It is a happy number.

It is not a de Polignac number, because 1017661201249 - 2⁹ = 1017661200737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1017661201259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8836719 + ... + 8951140.

It is an arithmetic number, because the mean of its divisors is an integer number (79405007040).

Almost surely, 2^{1017661201249} is an apocalyptic number.

It is an amenable number.

1017661201249 is a deficient number, since it is larger than the sum of its proper divisors (252818911391).

1017661201249 is a wasteful number, since it uses less digits than its factorization.

1017661201249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17788620.

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 1017661201249 in words is "one trillion, seventeen billion, six hundred sixty-one million, two hundred one thousand, two hundred forty-nine".