1011958505317 has 32 divisors (see below), whose sum is σ = 1115528824800. Its totient is φ = 913709088768.

The previous prime is 1011958505197. The next prime is 1011958505417. The reversal of 1011958505317 is 7135058591101.

It can be written as a sum of positive squares in 16 ways, for example, as 388638781281 + 623319724036 = 623409^2 + 789506^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011958505317 - 2³¹ = 1009811021669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011958505417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206141059 + ... + 206145967.

It is an arithmetic number, because the mean of its divisors is an integer number (34860275775).

Almost surely, 2^{1011958505317} is an apocalyptic number.

1011958505317 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1011958505317 is a deficient number, since it is larger than the sum of its proper divisors (103570319483).

1011958505317 is a wasteful number, since it uses less digits than its factorization.

1011958505317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7545.

The product of its (nonzero) digits is 189000, while the sum is 46.

The spelling of 1011958505317 in words is "one trillion, eleven billion, nine hundred fifty-eight million, five hundred five thousand, three hundred seventeen".