4968135225 has 81 divisors (see below), whose sum is σ = 9218060397. Its totient is φ = 2557759680.

The previous prime is 4968135223. The next prime is 4968135239. The reversal of 4968135225 is 5225318694.

The square root of 4968135225 is 70485.

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

4968135225 is a `hidden beast` number, since 49 + 6 + 81 + 3 + 522 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 471628089 + 4496507136 = 21717^2 + 67056^2 .

It is not a de Polignac number, because 4968135225 - 2¹ = 4968135223 is a prime.

It is a super-2 number, since 2×4968135225² = 49364735227771601250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4968135223) 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 80 ways as a sum of consecutive naturals, for example, 39119112 + ... + 39119238.

Almost surely, 2^4968135225 is an apocalyptic number.

4968135225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4968135225 is the 70485-th square number.

4968135225 is the 35243-rd centered octagonal number.

It is an amenable number.

4968135225 is a deficient number, since it is larger than the sum of its proper divisors (4249925172).

4968135225 is a wasteful number, since it uses less digits than its factorization.

4968135225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 172 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The cubic root of 4968135225 is about 1706.3356693289.

The spelling of 4968135225 in words is "four billion, nine hundred sixty-eight million, one hundred thirty-five thousand, two hundred twenty-five".