2511261013632 has 384 divisors, whose sum is σ = 8297505449280. Its totient is φ = 668602368000.

The previous prime is 2511261013631. The next prime is 2511261013661. The reversal of 2511261013632 is 2363101621152.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 2511261013593 and 2511261013602.

It is not an unprimeable number, because it can be changed into a prime (2511261013631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32268207 + ... + 32345937.

Almost surely, 2^{2511261013632} 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 2511261013632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4148752724640).

2511261013632 is an abundant number, since it is smaller than the sum of its proper divisors (5786244435648).

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

2511261013632 is a wasteful number, since it uses less digits than its factorization.

2511261013632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77880 (or 77861 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

Adding to 2511261013632 its reverse (2363101621152), we get a palindrome (4874362634784).

The spelling of 2511261013632 in words is "two trillion, five hundred eleven billion, two hundred sixty-one million, thirteen thousand, six hundred thirty-two".