82833131520 has 384 divisors, whose sum is σ = 304628688000. Its totient is φ = 21325086720.

The previous prime is 82833131509. The next prime is 82833131543. The reversal of 82833131520 is 2513133828.

It is a happy number.

82833131520 is a `hidden beast` number, since 8 + 2 + 8 + 331 + 315 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×82833131520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8012755 + ... + 8023085.

It is an arithmetic number, because the mean of its divisors is an integer number (793303875).

Almost surely, 2^82833131520 is an apocalyptic number.

82833131520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82833131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152314344000).

82833131520 is an abundant number, since it is smaller than the sum of its proper divisors (221795556480).

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

82833131520 is a wasteful number, since it uses less digits than its factorization.

82833131520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10396 (or 10370 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 82833131520 in words is "eighty-two billion, eight hundred thirty-three million, one hundred thirty-one thousand, five hundred twenty".