853142253649 has 27 divisors (see below), whose sum is σ = 1037636867547. Its totient is φ = 699348744864.

The previous prime is 853142253647. The next prime is 853142253653. The reversal of 853142253649 is 946352241358.

The square root of 853142253649 is 923657.

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

It can be written as a sum of positive squares in only one way, i.e., 7419238225 + 845723015424 = 86135^2 + 919632^2 .

It is not a de Polignac number, because 853142253649 - 2¹ = 853142253647 is a prime.

It is a super-2 number, since 2×853142253649² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 853142253596 and 853142253605.

It is not an unprimeable number, because it can be changed into a prime (853142253647) 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 26 ways as a sum of consecutive naturals, for example, 148705909 + ... + 148711645.

Almost surely, 2^853142253649 is an apocalyptic number.

853142253649 is the 923657-th square number.

853142253649 is the 461829-th centered octagonal number.

It is an amenable number.

853142253649 is a deficient number, since it is larger than the sum of its proper divisors (184494613898).

853142253649 is an frugal number, since it uses more digits than its factorization.

853142253649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11534 (or 5767 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 52.

The spelling of 853142253649 in words is "eight hundred fifty-three billion, one hundred forty-two million, two hundred fifty-three thousand, six hundred forty-nine".