556251264 has 96 divisors (see below), whose sum is σ = 1639850940. Its totient is φ = 180879360.

The previous prime is 556251263. The next prime is 556251281. The reversal of 556251264 is 462152655.

556251264 is a `hidden beast` number, since 5 + 5 + 625 + 1 + 26 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 538611264 + 17640000 = 23208^2 + 4200^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556251263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41344 + ... + 53120.

Almost surely, 2^556251264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556251264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819925470).

556251264 is an abundant number, since it is smaller than the sum of its proper divisors (1083599676).

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

556251264 is a wasteful number, since it uses less digits than its factorization.

556251264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11838 (or 11823 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 556251264 is about 23584.9796268727. The cubic root of 556251264 is about 822.4137012156.

The spelling of 556251264 in words is "five hundred fifty-six million, two hundred fifty-one thousand, two hundred sixty-four".