2511125520 has 80 divisors (see below), whose sum is σ = 7805637312. Its totient is φ = 667814400.

The previous prime is 2511125453. The next prime is 2511125527. The reversal of 2511125520 is 255211152.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2511125527) 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, 75495 + ... + 103545.

Almost surely, 2^2511125520 is an apocalyptic number.

2511125520 is a gapful number since it is divisible by the number (20) 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 2511125520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3902818656).

2511125520 is an abundant number, since it is smaller than the sum of its proper divisors (5294511792).

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

2511125520 is a wasteful number, since it uses less digits than its factorization.

2511125520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28440 (or 28434 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 2511125520 is about 50111.1316974582. The cubic root of 2511125520 is about 1359.2191163092.

Adding to 2511125520 its reverse (255211152), we get a palindrome (2766336672).

The spelling of 2511125520 in words is "two billion, five hundred eleven million, one hundred twenty-five thousand, five hundred twenty".