1506005606010 has 16 divisors (see below), whose sum is σ = 3614413454496. Its totient is φ = 401601494928.

The previous prime is 1506005605963. The next prime is 1506005606117. The reversal of 1506005606010 is 106065006051.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 50200186867 = 1506005606010 / (1 + 5 + 0 + 6 + 0 + 0 + 5 + 6 + 0 + 6 + 0 + 1 + 0).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25100093404 + ... + 25100093463.

It is an arithmetic number, because the mean of its divisors is an integer number (225900840906).

Almost surely, 2^{1506005606010} is an apocalyptic number.

1506005606010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1506005606010 is an abundant number, since it is smaller than the sum of its proper divisors (2108407848486).

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

1506005606010 is a wasteful number, since it uses less digits than its factorization.

1506005606010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50200186877.

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 1506005606010 in words is "one trillion, five hundred six billion, five million, six hundred six thousand, ten".