1506535133922 has 288 divisors, whose sum is σ = 4315476110400. Its totient is φ = 375446244096.

The previous prime is 1506535133921. The next prime is 1506535133963. The reversal of 1506535133922 is 2293315356051.

1506535133922 is a `hidden beast` number, since 1 + 50 + 6 + 53 + 513 + 39 + 2 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1506535133921) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 86479329 + ... + 86496747.

It is an arithmetic number, because the mean of its divisors is an integer number (14984292050).

Almost surely, 2^{1506535133922} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1506535133922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157738055200).

1506535133922 is an abundant number, since it is smaller than the sum of its proper divisors (2808940976478).

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

1506535133922 is a wasteful number, since it uses less digits than its factorization.

1506535133922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17870 (or 17860 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 1506535133922 in words is "one trillion, five hundred six billion, five hundred thirty-five million, one hundred thirty-three thousand, nine hundred twenty-two".