54561312952969 has 9 divisors (see below), whose sum is σ = 54601488478407. Its totient is φ = 54521166983064.

The previous prime is 54561312952921. The next prime is 54561312953003. The reversal of 54561312952969 is 96925921316545.

The square root of 54561312952969 is 7386563.

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., 6502311301369 + 48059001651600 = 2549963^2 + 6932460^2 .

It is not a de Polignac number, because 54561312952969 - 2⁷ = 54561312952841 is a prime.

It is a super-2 number, since 2×54561312952969² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54561312952469) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19847693407 + ... + 19847696155.

Almost surely, 2^{54561312952969} is an apocalyptic number.

54561312952969 is the 7386563-rd square number.

54561312952969 is the 3693282-nd centered octagonal number.

It is an amenable number.

54561312952969 is a deficient number, since it is larger than the sum of its proper divisors (40175525438).

54561312952969 is an frugal number, since it uses more digits than its factorization.

54561312952969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10872 (or 5436 counting only the distinct ones).

The product of its digits is 157464000, while the sum is 67.

The spelling of 54561312952969 in words is "fifty-four trillion, five hundred sixty-one billion, three hundred twelve million, nine hundred fifty-two thousand, nine hundred sixty-nine".