15001000 has 64 divisors (see below), whose sum is σ = 40135680. Its totient is φ = 5140800.

The previous prime is 15000977. The next prime is 15001001. The reversal of 15001000 is 10051.

15001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (15001001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5929 + ... + 8071.

It is an arithmetic number, because the mean of its divisors is an integer number (627120).

Almost surely, 2^15001000 is an apocalyptic number.

15001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20067840).

15001000 is an abundant number, since it is smaller than the sum of its proper divisors (25134680).

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

15001000 is a wasteful number, since it uses less digits than its factorization.

15001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 15001000 is about 3873.1124435007. The cubic root of 15001000 is about 246.6266877825.

Adding to 15001000 its reverse (10051), we get a palindrome (15011051).

It can be divided in two parts, 1500 and 1000, that added together give a square (2500 = 50²).

The spelling of 15001000 in words is "fifteen million, one thousand".