82513202090 has 192 divisors, whose sum is σ = 182835446400. Its totient is φ = 26729809920.

The previous prime is 82513202077. The next prime is 82513202117. The reversal of 82513202090 is 9020231528.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73084646 + ... + 73085774.

It is an arithmetic number, because the mean of its divisors is an integer number (952267950).

Almost surely, 2^82513202090 is an apocalyptic number.

82513202090 is an abundant number, since it is smaller than the sum of its proper divisors (100322244310).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82513202090 is a wasteful number, since it uses less digits than its factorization.

82513202090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 82513202090 in words is "eighty-two billion, five hundred thirteen million, two hundred two thousand, ninety".