1542573538506 has 768 divisors, whose sum is σ = 5029901107200. Its totient is φ = 338988499200.

The previous prime is 1542573538501. The next prime is 1542573538543. The reversal of 1542573538506 is 6058353752451.

1542573538506 is a `hidden beast` number, since 1 + 5 + 4 + 2 + 57 + 3 + 538 + 50 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1542573538501) 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 383 ways as a sum of consecutive naturals, for example, 413889615 + ... + 413893341.

It is an arithmetic number, because the mean of its divisors is an integer number (6549350400).

Almost surely, 2^{1542573538506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1542573538506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514950553600).

1542573538506 is an abundant number, since it is smaller than the sum of its proper divisors (3487327568694).

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

1542573538506 is a wasteful number, since it uses less digits than its factorization.

1542573538506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 1542573538506 in words is "one trillion, five hundred forty-two billion, five hundred seventy-three million, five hundred thirty-eight thousand, five hundred six".