1020958191 has 24 divisors (see below), whose sum is σ = 1622097360. Its totient is φ = 618755280.

The previous prime is 1020958189. The next prime is 1020958199. The reversal of 1020958191 is 1918590201.

It is not a de Polignac number, because 1020958191 - 2¹ = 1020958189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020958199) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30636 + ... + 54593.

It is an arithmetic number, because the mean of its divisors is an integer number (67587390).

Almost surely, 2^1020958191 is an apocalyptic number.

1020958191 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1020958191 is a deficient number, since it is larger than the sum of its proper divisors (601139169).

1020958191 is an equidigital number, since it uses as much as digits as its factorization.

1020958191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85268 (or 85243 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The square root of 1020958191 is about 31952.4363859785. The cubic root of 1020958191 is about 1006.9378190205.

The spelling of 1020958191 in words is "one billion, twenty million, nine hundred fifty-eight thousand, one hundred ninety-one".