2505531312 has 160 divisors (see below), whose sum is σ = 7534517760. Its totient is φ = 795674880.

The previous prime is 2505531277. The next prime is 2505531337. The reversal of 2505531312 is 2131355052.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4580223 + ... + 4580769.

It is an arithmetic number, because the mean of its divisors is an integer number (47090736).

Almost surely, 2^2505531312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505531312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767258880).

2505531312 is an abundant number, since it is smaller than the sum of its proper divisors (5028986448).

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

2505531312 is a wasteful number, since it uses less digits than its factorization.

2505531312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 2505531312 is about 50055.2825583874. The cubic root of 2505531312 is about 1358.2090237083.

Adding to 2505531312 its reverse (2131355052), we get a palindrome (4636886364).

The spelling of 2505531312 in words is "two billion, five hundred five million, five hundred thirty-one thousand, three hundred twelve".