492993558225 has 189 divisors, whose sum is σ = 1067626257483. Its totient is φ = 225065161440.

The previous prime is 492993558223. The next prime is 492993558227. The reversal of 492993558225 is 522855399294.

The square root of 492993558225 is 702135.

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

492993558225 is a `hidden beast` number, since 4 + 9 + 29 + 9 + 3 + 5 + 582 + 25 = 666.

492993558225 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (492993558223) and next prime (492993558227).

It can be written as a sum of positive squares in only one way, i.e., 177477680961 + 315515877264 = 421281^2 + 561708^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 492993558225 - 2¹ = 492993558223 is a prime.

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 (492993558223) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 663517204 + ... + 663517946.

Almost surely, 2^492993558225 is an apocalyptic number.

492993558225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

492993558225 is the 702135-th square number.

492993558225 is the 351068-th centered octagonal number.

It is an amenable number.

492993558225 is an abundant number, since it is smaller than the sum of its proper divisors (574632699258).

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

492993558225 is an frugal number, since it uses more digits than its factorization.

492993558225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 758 counting only the distinct ones).

The product of its digits is 69984000, while the sum is 63.

The spelling of 492993558225 in words is "four hundred ninety-two billion, nine hundred ninety-three million, five hundred fifty-eight thousand, two hundred twenty-five".