1958350001601 has 16 divisors (see below), whose sum is σ = 2984470925184. Its totient is φ = 1118937690624.

The previous prime is 1958350001561. The next prime is 1958350001653. The reversal of 1958350001601 is 1061000538591.

It is not a de Polignac number, because 1958350001601 - 2¹¹ = 1958349999553 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1958350001601.

It is not an unprimeable number, because it can be changed into a prime (1958350001401) 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, 4775610 + ... + 5169443.

It is an arithmetic number, because the mean of its divisors is an integer number (186529432824).

Almost surely, 2^{1958350001601} is an apocalyptic number.

It is an amenable number.

1958350001601 is a deficient number, since it is larger than the sum of its proper divisors (1026120923583).

1958350001601 is an equidigital number, since it uses as much as digits as its factorization.

1958350001601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9954440.

The product of its (nonzero) digits is 32400, while the sum is 39.

The spelling of 1958350001601 in words is "one trillion, nine hundred fifty-eight billion, three hundred fifty million, one thousand, six hundred one".