42413261517 has 48 divisors (see below), whose sum is σ = 68672700096. Its totient is φ = 25002432000.

The previous prime is 42413261497. The next prime is 42413261531. The reversal of 42413261517 is 71516231424.

42413261517 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 32 + 615 + 1 + 7 = 666.

It is not a de Polignac number, because 42413261517 - 2³⁰ = 41339519693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42413261557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1005267 + ... + 1046607.

It is an arithmetic number, because the mean of its divisors is an integer number (1430681252).

Almost surely, 2^42413261517 is an apocalyptic number.

It is an amenable number.

42413261517 is a deficient number, since it is larger than the sum of its proper divisors (26259438579).

42413261517 is a wasteful number, since it uses less digits than its factorization.

42413261517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41642 (or 41639 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The spelling of 42413261517 in words is "forty-two billion, four hundred thirteen million, two hundred sixty-one thousand, five hundred seventeen".