3083135525820 has 144 divisors (see below), whose sum is σ = 11158014379680. Its totient is φ = 704716685568.

The previous prime is 3083135525797. The next prime is 3083135525851. The reversal of 3083135525820 is 285255313803.

It is a happy number.

3083135525820 is a `hidden beast` number, since 3 + 0 + 8 + 3 + 13 + 5 + 52 + 582 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58233849 + ... + 58286768.

It is an arithmetic number, because the mean of its divisors is an integer number (77486210970).

Almost surely, 2^{3083135525820} is an apocalyptic number.

3083135525820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3083135525820 is an abundant number, since it is smaller than the sum of its proper divisors (8074878853860).

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

3083135525820 is a wasteful number, since it uses less digits than its factorization.

3083135525820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116520649 (or 116520634 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 3083135525820 in words is "three trillion, eighty-three billion, one hundred thirty-five million, five hundred twenty-five thousand, eight hundred twenty".