61742319413 has 32 divisors (see below), whose sum is σ = 66921984000. Its totient is φ = 56827330560.

The previous prime is 61742319409. The next prime is 61742319439. The reversal of 61742319413 is 31491324716.

It is a cyclic number.

It is not a de Polignac number, because 61742319413 - 2² = 61742319409 is a prime.

It is a super-3 number, since 3×61742319413³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61742319403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43819253 + ... + 43820661.

It is an arithmetic number, because the mean of its divisors is an integer number (2091312000).

Almost surely, 2^61742319413 is an apocalyptic number.

It is an amenable number.

61742319413 is a deficient number, since it is larger than the sum of its proper divisors (5179664587).

61742319413 is a wasteful number, since it uses less digits than its factorization.

61742319413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165.

The product of its digits is 108864, while the sum is 41.

The spelling of 61742319413 in words is "sixty-one billion, seven hundred forty-two million, three hundred nineteen thousand, four hundred thirteen".