58131804825 has 144 divisors (see below), whose sum is σ = 114673553280. Its totient is φ = 28019312640.

The previous prime is 58131804823. The next prime is 58131804839. The reversal of 58131804825 is 52840813185.

58131804825 is a `hidden beast` number, since 581 + 3 + 1 + 8 + 0 + 48 + 25 = 666.

58131804825 is a nontrivial binomial coefficient, being equal to C(340975, 2).

It is not a de Polignac number, because 58131804825 - 2¹ = 58131804823 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (58131804821) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 58306227 + ... + 58307223.

It is an arithmetic number, because the mean of its divisors is an integer number (796344120).

Almost surely, 2^58131804825 is an apocalyptic number.

58131804825 is the 340974-th triangular number.

It is an amenable number.

58131804825 is a deficient number, since it is larger than the sum of its proper divisors (56541748455).

58131804825 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (58131804824) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1640).

58131804825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 58131804825 in words is "fifty-eight billion, one hundred thirty-one million, eight hundred four thousand, eight hundred twenty-five".