54582509641 has 27 divisors (see below), whose sum is σ = 61097207367. Its totient is φ = 48725664240.

The previous prime is 54582509617. The next prime is 54582509693. The reversal of 54582509641 is 14690528545.

It is a happy number.

The square root of 54582509641 is 233629.

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., 3055325625 + 51527184016 = 55275^2 + 226996^2 .

It is not a de Polignac number, because 54582509641 - 2¹⁷ = 54582378569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54582509741) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 172184415 + ... + 172184731.

Almost surely, 2^54582509641 is an apocalyptic number.

54582509641 is the 233629-th square number.

54582509641 is the 116815-th centered octagonal number.

It is an amenable number.

54582509641 is a deficient number, since it is larger than the sum of its proper divisors (6514697726).

54582509641 is an frugal number, since it uses more digits than its factorization.

54582509641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 49.

Multiplying 54582509641 by its sum of digits (49), we get a square (2674542972409 = 1635403²).

The spelling of 54582509641 in words is "fifty-four billion, five hundred eighty-two million, five hundred nine thousand, six hundred forty-one".