150513006 has 48 divisors (see below), whose sum is σ = 355020624. Its totient is φ = 42408576.

The previous prime is 150512981. The next prime is 150513007. The reversal of 150513006 is 600315051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150513007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17956 + ... + 24968.

It is an arithmetic number, because the mean of its divisors is an integer number (7396263).

Almost surely, 2^150513006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150513006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177510312).

150513006 is an abundant number, since it is smaller than the sum of its proper divisors (204507618).

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

150513006 is a wasteful number, since it uses less digits than its factorization.

150513006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7105 (or 7098 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 150513006 is about 12268.3742199201. The cubic root of 150513006 is about 531.9343178375.

Adding to 150513006 its reverse (600315051), we get a palindrome (750828057).

The spelling of 150513006 in words is "one hundred fifty million, five hundred thirteen thousand, six".