11259641980521 has 81 divisors (see below), whose sum is σ = 18692156131831. Its totient is φ = 6525852247200.

The previous prime is 11259641980471. The next prime is 11259641980537. The reversal of 11259641980521 is 12508914695211.

The square root of 11259641980521 is 3355539.

It is a perfect power (a square), and thus also a powerful number.

11259641980521 is a `hidden beast` number, since 1 + 1 + 2 + 59 + 64 + 1 + 9 + 8 + 0 + 521 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9351431276121 + 1908210704400 = 3058011^2 + 1381380^2 .

It is a de Polignac number, because none of the positive numbers 2^k-11259641980521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11259641981521) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2546851891 + ... + 2546856311.

Almost surely, 2^{11259641980521} is an apocalyptic number.

11259641980521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11259641980521 is the 3355539-th square number.

11259641980521 is the 1677770-th centered octagonal number.

It is an amenable number.

11259641980521 is a deficient number, since it is larger than the sum of its proper divisors (7432514151310).

11259641980521 is an frugal number, since it uses more digits than its factorization.

11259641980521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8916 (or 4458 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 11259641980521 in words is "eleven trillion, two hundred fifty-nine billion, six hundred forty-one million, nine hundred eighty thousand, five hundred twenty-one".