553736898225 has 243 divisors, whose sum is σ = 1220923420353. Its totient is φ = 239170942080.

The previous prime is 553736898191. The next prime is 553736898227. The reversal of 553736898225 is 522898637355.

The square root of 553736898225 is 744135.

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

553736898225 is a `hidden beast` number, since 5 + 537 + 3 + 6 + 8 + 98 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5331482289 + 548405415936 = 73017^2 + 740544^2 .

It is not a de Polignac number, because 553736898225 - 2¹⁵ = 553736865457 is a prime.

It is a super-3 number, since 3×553736898225³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (553736898227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1484549139 + ... + 1484549511.

Almost surely, 2^553736898225 is an apocalyptic number.

553736898225 is the 744135-th square number.

553736898225 is the 372068-th centered octagonal number.

It is an amenable number.

553736898225 is an abundant number, since it is smaller than the sum of its proper divisors (667186522128).

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

553736898225 is a wasteful number, since it uses less digits than its factorization.

553736898225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 407 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 553736898225 in words is "five hundred fifty-three billion, seven hundred thirty-six million, eight hundred ninety-eight thousand, two hundred twenty-five".