191582505001 has 2 divisors, whose sum is σ = 191582505002. Its totient is φ = 191582505000.

The previous prime is 191582504929. The next prime is 191582505047. The reversal of 191582505001 is 100505285191.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 149729528601 + 41852976400 = 386949^2 + 204580^2 .

It is an emirp because it is prime and its reverse (100505285191) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 191582505001 - 2¹⁷ = 191582373929 is a prime.

It is not a weakly prime, because it can be changed into another prime (191582505071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 95791252500 + 95791252501.

It is an arithmetic number, because the mean of its divisors is an integer number (95791252501).

Almost surely, 2^191582505001 is an apocalyptic number.

It is an amenable number.

191582505001 is a deficient number, since it is larger than the sum of its proper divisors (1).

191582505001 is an equidigital number, since it uses as much as digits as its factorization.

191582505001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18000, while the sum is 37.

The spelling of 191582505001 in words is "one hundred ninety-one billion, five hundred eighty-two million, five hundred five thousand, one".