54313465634289 has 45 divisors (see below), whose sum is σ = 81427578795739. Its totient is φ = 36078841743840.

The previous prime is 54313465634231. The next prime is 54313465634321. The reversal of 54313465634289 is 98243656431345.

The square root of 54313465634289 is 7369767.

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

54313465634289 is a `hidden beast` number, since 5 + 4 + 3 + 1 + 3 + 46 + 563 + 4 + 28 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8885973474225 + 45427492160064 = 2980935^2 + 6739992^2 .

It is not a de Polignac number, because 54313465634289 - 2²⁵ = 54313432079857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54313465634789) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20627976517 + ... + 20627979149.

Almost surely, 2^{54313465634289} is an apocalyptic number.

54313465634289 is the 7369767-th square number.

54313465634289 is the 3684884-th centered octagonal number.

It is an amenable number.

54313465634289 is a deficient number, since it is larger than the sum of its proper divisors (27114113161450).

54313465634289 is an frugal number, since it uses more digits than its factorization.

54313465634289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5900 (or 2947 counting only the distinct ones).

The product of its digits is 223948800, while the sum is 63.

The spelling of 54313465634289 in words is "fifty-four trillion, three hundred thirteen billion, four hundred sixty-five million, six hundred thirty-four thousand, two hundred eighty-nine".