1505112000 has 672 divisors, whose sum is σ = 6228258816. Its totient is φ = 313344000.

The previous prime is 1505111989. The next prime is 1505112047. The reversal of 1505112000 is 2115051.

1505112000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48551985 + ... + 48552015.

Almost surely, 2^1505112000 is an apocalyptic number.

1505112000 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 1505112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114129408).

1505112000 is an abundant number, since it is smaller than the sum of its proper divisors (4723146816).

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

1505112000 is a wasteful number, since it uses less digits than its factorization.

1505112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 1505112000 is about 38795.7729656209. The cubic root of 1505112000 is about 1146.0131634743.

Adding to 1505112000 its reverse (2115051), we get a palindrome (1507227051).

The spelling of 1505112000 in words is "one billion, five hundred five million, one hundred twelve thousand".