82265510753 has 8 divisors (see below), whose sum is σ = 83158072872. Its totient is φ = 81373856256.

The previous prime is 82265510749. The next prime is 82265510819. The reversal of 82265510753 is 35701556228.

It can be written as a sum of positive squares in 4 ways, for example, as 33148756624 + 49116754129 = 182068^2 + 221623^2 .

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 82265510753 - 2² = 82265510749 is a prime.

It is a super-3 number, since 3×82265510753³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82265510653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43850 + ... + 407987.

It is an arithmetic number, because the mean of its divisors is an integer number (10394759109).

Almost surely, 2^82265510753 is an apocalyptic number.

It is an amenable number.

82265510753 is a deficient number, since it is larger than the sum of its proper divisors (892562119).

82265510753 is a wasteful number, since it uses less digits than its factorization.

82265510753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453811.

The product of its (nonzero) digits is 504000, while the sum is 44.

The spelling of 82265510753 in words is "eighty-two billion, two hundred sixty-five million, five hundred ten thousand, seven hundred fifty-three".