82381000735265 has 32 divisors (see below), whose sum is σ = 102550973616000. Its totient is φ = 63454997265408.

The previous prime is 82381000735247. The next prime is 82381000735283. The reversal of 82381000735265 is 56253700018328.

It is an interprime number because it is at equal distance from previous prime (82381000735247) and next prime (82381000735283).

It is a cyclic number.

It is not a de Polignac number, because 82381000735265 - 2⁴⁴ = 64788814690849 is a prime.

It is a super-2 number, since 2×82381000735265² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386062121 + ... + 386275449.

It is an arithmetic number, because the mean of its divisors is an integer number (3204717925500).

Almost surely, 2^{82381000735265} is an apocalyptic number.

It is an amenable number.

82381000735265 is a deficient number, since it is larger than the sum of its proper divisors (20169972880735).

82381000735265 is a wasteful number, since it uses less digits than its factorization.

82381000735265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220769.

The product of its (nonzero) digits is 2419200, while the sum is 50.

The spelling of 82381000735265 in words is "eighty-two trillion, three hundred eighty-one billion, seven hundred thirty-five thousand, two hundred sixty-five".