82395000019 has 8 divisors (see below), whose sum is σ = 87246793008. Its totient is φ = 77543765760.

The previous prime is 82394999881. The next prime is 82395000059. The reversal of 82395000019 is 91000059328.

82395000019 = T₂₃₄₃₇₀ + T₂₃₄₃₇₁ + T₂₃₄₃₇₂.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82395000019 - 2⁹ = 82394999507 is a prime.

It is a super-2 number, since 2×82395000019² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82395000059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185599 + ... + 446359.

It is an arithmetic number, because the mean of its divisors is an integer number (10905849126).

Almost surely, 2^82395000019 is an apocalyptic number.

82395000019 is the 234372-nd centered triangular number.

82395000019 is a deficient number, since it is larger than the sum of its proper divisors (4851792989).

82395000019 is a wasteful number, since it uses less digits than its factorization.

82395000019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279365.

The product of its (nonzero) digits is 19440, while the sum is 37.

The spelling of 82395000019 in words is "eighty-two billion, three hundred ninety-five million, nineteen", and thus it is an aban number.