552153024900 has 729 divisors, whose sum is σ = 1940985402447. Its totient is φ = 131255884800.

The previous prime is 552153024893. The next prime is 552153024967. The reversal of 552153024900 is 9420351255.

It is a happy number.

The square root of 552153024900 is 743070.

It is a perfect power (a square), and thus also a powerful number.

552153024900 is a `hidden beast` number, since 55 + 215 + 302 + 4 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12915413316 + 539237611584 = 113646^2 + 734328^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 11747936677 + ... + 11747936723.

Almost surely, 2^552153024900 is an apocalyptic number.

552153024900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

552153024900 is the 743070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552153024900

552153024900 is an abundant number, since it is smaller than the sum of its proper divisors (1388832377547).

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

552153024900 is a wasteful number, since it uses less digits than its factorization.

552153024900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Multiplying 552153024900 by its sum of digits (36), we get a square (19877508896400 = 4458420²).

552153024900 divided by its sum of digits (36) gives a square (15337584025 = 123845²).

The spelling of 552153024900 in words is "five hundred fifty-two billion, one hundred fifty-three million, twenty-four thousand, nine hundred".