1506564150 has 384 divisors, whose sum is σ = 5003013120. Its totient is φ = 291133440.

The previous prime is 1506564121. The next prime is 1506564161. The reversal of 1506564150 is 514656051.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9595872 + ... + 9596028.

It is an arithmetic number, because the mean of its divisors is an integer number (13028680).

Almost surely, 2^1506564150 is an apocalyptic number.

1506564150 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 1506564150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501506560).

1506564150 is an abundant number, since it is smaller than the sum of its proper divisors (3496448970).

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

1506564150 is a wasteful number, since it uses less digits than its factorization.

1506564150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 1506564150 is about 38814.4837657285. The cubic root of 1506564150 is about 1146.3816073939.

The spelling of 1506564150 in words is "one billion, five hundred six million, five hundred sixty-four thousand, one hundred fifty".