54601000 has 32 divisors (see below), whose sum is σ = 127768680. Its totient is φ = 21840000.

The previous prime is 54600967. The next prime is 54601033. The reversal of 54601000 is 10645.

It is an interprime number because it is at equal distance from previous prime (54600967) and next prime (54601033).

It can be written as a sum of positive squares in 4 ways, for example, as 3992004 + 50608996 = 1998^2 + 7114^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26301 + ... + 28300.

Almost surely, 2^54601000 is an apocalyptic number.

54601000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54601000 is an abundant number, since it is smaller than the sum of its proper divisors (73167680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54601000 is a wasteful number, since it uses less digits than its factorization.

54601000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54622 (or 54608 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 54601000 is about 7389.2489469499. The cubic root of 54601000 is about 379.3733902046.

Adding to 54601000 its reverse (10645), we get a palindrome (54611645).

The spelling of 54601000 in words is "fifty-four million, six hundred one thousand".