1017263634513 has 40 divisors (see below), whose sum is σ = 1603992336288. Its totient is φ = 573330284352.

The previous prime is 1017263634467. The next prime is 1017263634521. The reversal of 1017263634513 is 3154363627101.

1017263634513 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1017263634513 - 2⁶ = 1017263634449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1017263634553) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 441495 + ... + 1493132.

Almost surely, 2^{1017263634513} is an apocalyptic number.

It is an amenable number.

1017263634513 is a deficient number, since it is larger than the sum of its proper divisors (586728701775).

1017263634513 is an frugal number, since it uses more digits than its factorization.

1017263634513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934731 (or 1934710 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 1017263634513 in words is "one trillion, seventeen billion, two hundred sixty-three million, six hundred thirty-four thousand, five hundred thirteen".