82507608301 has 16 divisors (see below), whose sum is σ = 85337556480. Its totient is φ = 79736977840.

The previous prime is 82507608263. The next prime is 82507608311. The reversal of 82507608301 is 10380670528.

It is a cyclic number.

It is not a de Polignac number, because 82507608301 - 2⁹ = 82507607789 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82507608311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 777120 + ... + 876886.

It is an arithmetic number, because the mean of its divisors is an integer number (5333597280).

Almost surely, 2^82507608301 is an apocalyptic number.

It is an amenable number.

82507608301 is a deficient number, since it is larger than the sum of its proper divisors (2829948179).

82507608301 is a wasteful number, since it uses less digits than its factorization.

82507608301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100064.

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 82507608301 in words is "eighty-two billion, five hundred seven million, six hundred eight thousand, three hundred one".