506641262401 has 8 divisors (see below), whose sum is σ = 520412546304. Its totient is φ = 492937320480.

The previous prime is 506641262371. The next prime is 506641262431. The reversal of 506641262401 is 104262146605.

It is an interprime number because it is at equal distance from previous prime (506641262371) and next prime (506641262431).

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 506641262401 - 2⁷ = 506641262273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506641262431) 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, 16820245 + ... + 16850338.

It is an arithmetic number, because the mean of its divisors is an integer number (65051568288).

Almost surely, 2^506641262401 is an apocalyptic number.

It is an amenable number.

506641262401 is a deficient number, since it is larger than the sum of its proper divisors (13771283903).

506641262401 is a wasteful number, since it uses less digits than its factorization.

506641262401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33670991.

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 506641262401 in words is "five hundred six billion, six hundred forty-one million, two hundred sixty-two thousand, four hundred one".