610653162249 has 45 divisors (see below), whose sum is σ = 987925910103. Its totient is φ = 375730297488.

The previous prime is 610653162221. The next prime is 610653162263. The reversal of 610653162249 is 942261356016.

The square root of 610653162249 is 781443.

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

610653162249 is a `hidden beast` number, since 6 + 10 + 6 + 5 + 3 + 1 + 622 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90333308025 + 520319854224 = 300555^2 + 721332^2 .

It is not a de Polignac number, because 610653162249 - 2¹⁹ = 610652637961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (610653162269) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 91425492 + ... + 91432170.

Almost surely, 2^610653162249 is an apocalyptic number.

610653162249 is the 781443-rd square number.

610653162249 is the 390722-nd centered octagonal number.

It is an amenable number.

610653162249 is a deficient number, since it is larger than the sum of its proper divisors (377272747854).

610653162249 is an frugal number, since it uses more digits than its factorization.

610653162249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13396 (or 6695 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 610653162249 in words is "six hundred ten billion, six hundred fifty-three million, one hundred sixty-two thousand, two hundred forty-nine".