11252546310961 has 8 divisors (see below), whose sum is σ = 11649512586600. Its totient is φ = 10856176531200.

The previous prime is 11252546310923. The next prime is 11252546310983. The reversal of 11252546310961 is 16901364525211.

It can be written as a sum of positive squares in 4 ways, for example, as 922640625 + 11251623670336 = 30375^2 + 3354344^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11252546310961 - 2²¹ = 11252544213809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11252546311961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149085576 + ... + 149161033.

It is an arithmetic number, because the mean of its divisors is an integer number (1456189073325).

Almost surely, 2^{11252546310961} is an apocalyptic number.

It is an amenable number.

11252546310961 is a deficient number, since it is larger than the sum of its proper divisors (396966275639).

11252546310961 is a wasteful number, since it uses less digits than its factorization.

11252546310961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298247939.

The product of its (nonzero) digits is 388800, while the sum is 46.

The spelling of 11252546310961 in words is "eleven trillion, two hundred fifty-two billion, five hundred forty-six million, three hundred ten thousand, nine hundred sixty-one".