54132013 has 8 divisors (see below), whose sum is σ = 59718456. Its totient is φ = 48748800.

The previous prime is 54132011. The next prime is 54132017. The reversal of 54132013 is 31023145.

54132013 = 5202² + 5203².

It can be written as a sum of positive squares in 4 ways, for example, as 7851204 + 46280809 = 2802^2 + 6803^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 54132013 - 2¹ = 54132011 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54132011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50248 + ... + 51313.

It is an arithmetic number, because the mean of its divisors is an integer number (7464807).

Almost surely, 2^54132013 is an apocalyptic number.

54132013 is the 5203-rd centered square number.

It is an amenable number.

54132013 is a deficient number, since it is larger than the sum of its proper divisors (5586443).

54132013 is a wasteful number, since it uses less digits than its factorization.

54132013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101615.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 54132013 is about 7357.4460922252. The cubic root of 54132013 is about 378.2840753446.

Adding to 54132013 its reverse (31023145), we get a palindrome (85155158).

The spelling of 54132013 in words is "fifty-four million, one hundred thirty-two thousand, thirteen".