125511264 has 72 divisors (see below), whose sum is σ = 375724440. Its totient is φ = 39633408.

The previous prime is 125511263. The next prime is 125511277. The reversal of 125511264 is 462115521.

125511264 is a `hidden beast` number, since 125 + 511 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125511263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5997 + ... + 16940.

It is an arithmetic number, because the mean of its divisors is an integer number (5218395).

Almost surely, 2^125511264 is an apocalyptic number.

It is an amenable number.

125511264 is an abundant number, since it is smaller than the sum of its proper divisors (250213176).

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

125511264 is a wasteful number, since it uses less digits than its factorization.

125511264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22972 (or 22961 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 125511264 is about 11203.1809768476. The cubic root of 125511264 is about 500.6807580496.

Adding to 125511264 its reverse (462115521), we get a palindrome (587626785).

The spelling of 125511264 in words is "one hundred twenty-five million, five hundred eleven thousand, two hundred sixty-four".