1506540621330 has 160 divisors (see below), whose sum is σ = 4164571920960. Its totient is φ = 390494701440.

The previous prime is 1506540621317. The next prime is 1506540621347. The reversal of 1506540621330 is 331260456051.

1506540621330 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 5 + 406 + 213 + 30 = 666.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 30514765 + ... + 30564095.

It is an arithmetic number, because the mean of its divisors is an integer number (26028574506).

Almost surely, 2^{1506540621330} is an apocalyptic number.

1506540621330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1506540621330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082285960480).

1506540621330 is an abundant number, since it is smaller than the sum of its proper divisors (2658031299630).

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

1506540621330 is a wasteful number, since it uses less digits than its factorization.

1506540621330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50406 (or 50397 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 1506540621330 in words is "one trillion, five hundred six billion, five hundred forty million, six hundred twenty-one thousand, three hundred thirty".