506013450401 has 8 divisors (see below), whose sum is σ = 523478210880. Its totient is φ = 488549758032.

The previous prime is 506013450391. The next prime is 506013450407. The reversal of 506013450401 is 104054310605.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 506013450401 - 2³⁰ = 504939708577 is a prime.

It is a super-3 number, since 3×506013450401³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506013450407) 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, 764396 + ... + 1263458.

It is an arithmetic number, because the mean of its divisors is an integer number (65434776360).

Almost surely, 2^506013450401 is an apocalyptic number.

It is an amenable number.

506013450401 is a deficient number, since it is larger than the sum of its proper divisors (17464760479).

506013450401 is a wasteful number, since it uses less digits than its factorization.

506013450401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534055.

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 506013450401 in words is "five hundred six billion, thirteen million, four hundred fifty thousand, four hundred one".