54013000 has 32 divisors (see below), whose sum is σ = 126392760. Its totient is φ = 21604800.

The previous prime is 54012971. The next prime is 54013009. The reversal of 54013000 is 31045.

It can be written as a sum of positive squares in 4 ways, for example, as 5654884 + 48358116 = 2378^2 + 6954^2 .

It is not an unprimeable number, because it can be changed into a prime (54013009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26007 + ... + 28006.

Almost surely, 2^54013000 is an apocalyptic number.

54013000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54013000 is an abundant number, since it is smaller than the sum of its proper divisors (72379760).

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

54013000 is a wasteful number, since it uses less digits than its factorization.

54013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54034 (or 54020 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 54013000 is about 7349.3537130825. The cubic root of 54013000 is about 378.0066439675.

Adding to 54013000 its reverse (31045), we get a palindrome (54044045).

The spelling of 54013000 in words is "fifty-four million, thirteen thousand".