246497355225 has 405 divisors, whose sum is σ = 542329223821. Its totient is φ = 110577139200.

The previous prime is 246497355187. The next prime is 246497355253. The reversal of 246497355225 is 522553794642.

The square root of 246497355225 is 496485.

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

246497355225 is a `hidden beast` number, since 2 + 4 + 6 + 49 + 73 + 5 + 522 + 5 = 666.

246497355225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5765820489 + 240731534736 = 75933^2 + 490644^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 246497355225 - 2¹¹ = 246497353177 is a prime.

It is a super-2 number, since 2×246497355225² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 4177921246 + ... + 4177921304.

Almost surely, 2^246497355225 is an apocalyptic number.

246497355225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

246497355225 is the 496485-th square number.

246497355225 is the 248243-rd centered octagonal number.

It is an amenable number.

246497355225 is an abundant number, since it is smaller than the sum of its proper divisors (295831868596).

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

246497355225 is a wasteful number, since it uses less digits than its factorization.

246497355225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 95 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 54.

It can be divided in two parts, 2464 and 97355225, that added together give a square (97357689 = 9867²).

The spelling of 246497355225 in words is "two hundred forty-six billion, four hundred ninety-seven million, three hundred fifty-five thousand, two hundred twenty-five".