11257591085 has 12 divisors (see below), whose sum is σ = 14628208212. Its totient is φ = 8313297408.

The previous prime is 11257591057. The next prime is 11257591099. The reversal of 11257591085 is 58019575211.

It can be written as a sum of positive squares in 6 ways, for example, as 305340676 + 10952250409 = 17474^2 + 104653^2 .

It is not a de Polignac number, because 11257591085 - 2¹⁰ = 11257590061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6660452 + ... + 6662141.

It is an arithmetic number, because the mean of its divisors is an integer number (1219017351).

Almost surely, 2^11257591085 is an apocalyptic number.

It is an amenable number.

11257591085 is a deficient number, since it is larger than the sum of its proper divisors (3370617127).

11257591085 is a wasteful number, since it uses less digits than its factorization.

11257591085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13322624 (or 13322611 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 44.

The spelling of 11257591085 in words is "eleven billion, two hundred fifty-seven million, five hundred ninety-one thousand, eighty-five".