20134540413 has 112 divisors (see below), whose sum is σ = 34210987440. Its totient is φ = 11757312000.

The previous prime is 20134540409. The next prime is 20134540429. The reversal of 20134540413 is 31404543102.

It is a happy number.

20134540413 is a `hidden beast` number, since 201 + 3 + 4 + 5 + 40 + 413 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11512860804 + 8621679609 = 107298^2 + 92853^2 .

It is not a de Polignac number, because 20134540413 - 2² = 20134540409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20134540493) 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 111 ways as a sum of consecutive naturals, for example, 16764213 + ... + 16765413.

It is an arithmetic number, because the mean of its divisors is an integer number (305455245).

Almost surely, 2^20134540413 is an apocalyptic number.

It is an amenable number.

20134540413 is a deficient number, since it is larger than the sum of its proper divisors (14076447027).

20134540413 is a wasteful number, since it uses less digits than its factorization.

20134540413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 20134540413 in words is "twenty billion, one hundred thirty-four million, five hundred forty thousand, four hundred thirteen".