82353408151 has 24 divisors (see below), whose sum is σ = 98166104064. Its totient is φ = 68845432320.

The previous prime is 82353408139. The next prime is 82353408161. The reversal of 82353408151 is 15180435328.

It is not a de Polignac number, because 82353408151 - 2⁹ = 82353407639 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82353408101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12337951 + ... + 12344623.

It is an arithmetic number, because the mean of its divisors is an integer number (4090254336).

Almost surely, 2^82353408151 is an apocalyptic number.

82353408151 is a deficient number, since it is larger than the sum of its proper divisors (15812695913).

82353408151 is a wasteful number, since it uses less digits than its factorization.

82353408151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12871 (or 12864 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 82353408151 in words is "eighty-two billion, three hundred fifty-three million, four hundred eight thousand, one hundred fifty-one".