2567521000000 has 392 divisors, whose sum is σ = 7019358901056. Its totient is φ = 924000000000.

The previous prime is 2567520999991. The next prime is 2567521000043. The reversal of 2567521000000 is 1257652.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1110998845 + ... + 1111001155.

Almost surely, 2^{2567521000000} is an apocalyptic number.

2567521000000 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 2567521000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509679450528).

2567521000000 is an abundant number, since it is smaller than the sum of its proper divisors (4451837901056).

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

2567521000000 is an equidigital number, since it uses as much as digits as its factorization.

2567521000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

Adding to 2567521000000 its reverse (1257652), we get a palindrome (2567522257652).

The spelling of 2567521000000 in words is "two trillion, five hundred sixty-seven billion, five hundred twenty-one million", and thus it is an aban number.