556052952 has 256 divisors, whose sum is σ = 1816657920. Its totient is φ = 137894400.

The previous prime is 556052941. The next prime is 556052957. The reversal of 556052952 is 259250655.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 556052952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556052957) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2911177 + ... + 2911367.

It is an arithmetic number, because the mean of its divisors is an integer number (7096320).

Almost surely, 2^556052952 is an apocalyptic number.

556052952 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556052952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908328960).

556052952 is an abundant number, since it is smaller than the sum of its proper divisors (1260604968).

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

556052952 is a wasteful number, since it uses less digits than its factorization.

556052952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 39.

The square root of 556052952 is about 23580.7750508757. The cubic root of 556052952 is about 822.3159552854.

The spelling of 556052952 in words is "five hundred fifty-six million, fifty-two thousand, nine hundred fifty-two".