11557125 has 24 divisors (see below), whose sum is σ = 20835672. Its totient is φ = 6163200.

The previous prime is 11557099. The next prime is 11557129. The reversal of 11557125 is 52175511.

11557125 = T₃₆₆ + T₃₆₇ + ... + T₄₉₀.

It can be written as a sum of positive squares in 4 ways, for example, as 1425636 + 10131489 = 1194^2 + 3183^2 .

It is not a de Polignac number, because 11557125 - 2¹¹ = 11555077 is a prime.

It is a super-3 number, since 3×11557125³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11557129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4012 + ... + 6261.

It is an arithmetic number, because the mean of its divisors is an integer number (868153).

Almost surely, 2^11557125 is an apocalyptic number.

11557125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11557125 is a deficient number, since it is larger than the sum of its proper divisors (9278547).

11557125 is a wasteful number, since it uses less digits than its factorization.

11557125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10294 (or 10281 counting only the distinct ones).

The product of its digits is 1750, while the sum is 27.

The square root of 11557125 is about 3399.5771795916. The cubic root of 11557125 is about 226.0909976311.

The spelling of 11557125 in words is "eleven million, five hundred fifty-seven thousand, one hundred twenty-five".