2013137424 has 45 divisors (see below), whose sum is σ = 5635495983. Its totient is φ = 670866336.

The previous prime is 2013137411. The next prime is 2013137429. The reversal of 2013137424 is 4247313102.

It is a happy number.

The square root of 2013137424 is 44868.

It is a perfect power (a square), and thus also a powerful number.

2013137424 is a `hidden beast` number, since 201 + 3 + 1 + 37 + 424 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2013137429) 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, 536547 + ... + 540285.

Almost surely, 2^2013137424 is an apocalyptic number.

2013137424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2013137424 is the 44868-th square number.

It is an amenable number.

2013137424 is an abundant number, since it is smaller than the sum of its proper divisors (3622358559).

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

2013137424 is an frugal number, since it uses more digits than its factorization.

2013137424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7492 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The cubic root of 2013137424 is about 1262.6737176766.

It can be divided in two parts, 2013137 and 424, that added together give a square (2013561 = 1419²).

The spelling of 2013137424 in words is "two billion, thirteen million, one hundred thirty-seven thousand, four hundred twenty-four".