552590100 has 180 divisors, whose sum is σ = 1897120764. Its totient is φ = 138654720.

The previous prime is 552590057. The next prime is 552590107. The reversal of 552590100 is 1095255.

552590100 is a `hidden beast` number, since 552 + 5 + 9 + 0 + 100 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 20088324 + 532501776 = 4482^2 + 23076^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552590107) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 135694 + ... + 139706.

Almost surely, 2^552590100 is an apocalyptic number.

552590100 is a gapful number since it is divisible by the number (50) 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 552590100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948560382).

552590100 is an abundant number, since it is smaller than the sum of its proper divisors (1344530664).

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

552590100 is a wasteful number, since it uses less digits than its factorization.

552590100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 552590100 is about 23507.2350564672. The cubic root of 552590100 is about 820.6053927163.

The spelling of 552590100 in words is "five hundred fifty-two million, five hundred ninety thousand, one hundred".