53634391281 has 81 divisors (see below), whose sum is σ = 87221473131. Its totient is φ = 31748347008.

The previous prime is 53634391273. The next prime is 53634391313. The reversal of 53634391281 is 18219343635.

The square root of 53634391281 is 231591.

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

53634391281 is a `hidden beast` number, since 5 + 3 + 634 + 3 + 9 + 1 + 2 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41756879025 + 11877512256 = 204345^2 + 108984^2 .

It is not a de Polignac number, because 53634391281 - 2³ = 53634391273 is a prime.

It is a super-2 number, since 2×53634391281² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53634391241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 224411560 + ... + 224411798.

Almost surely, 2^53634391281 is an apocalyptic number.

53634391281 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

53634391281 is the 231591-st square number.

53634391281 is the 115796-th centered octagonal number.

It is an amenable number.

53634391281 is a deficient number, since it is larger than the sum of its proper divisors (33587081850).

53634391281 is a wasteful number, since it uses less digits than its factorization.

53634391281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 278 counting only the distinct ones).

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

The spelling of 53634391281 in words is "fifty-three billion, six hundred thirty-four million, three hundred ninety-one thousand, two hundred eighty-one".