506443400101215 has 48 divisors (see below), whose sum is σ = 902034764800416. Its totient is φ = 262664815392000.

The previous prime is 506443400101213. The next prime is 506443400101231. The reversal of 506443400101215 is 512101004344605.

506443400101215 is a `hidden beast` number, since 5 + 0 + 6 + 4 + 434 + 0 + 0 + 1 + 0 + 1 + 215 = 666.

It is not a de Polignac number, because 506443400101215 - 2¹ = 506443400101213 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 506443400101215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506443400101213) 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, 76837521 + ... + 83167850.

It is an arithmetic number, because the mean of its divisors is an integer number (18792390933342).

Almost surely, 2^{506443400101215} is an apocalyptic number.

506443400101215 is a deficient number, since it is larger than the sum of its proper divisors (395591364699201).

506443400101215 is a wasteful number, since it uses less digits than its factorization.

506443400101215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160007320 (or 160007317 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 506443400101215 in words is "five hundred six trillion, four hundred forty-three billion, four hundred million, one hundred one thousand, two hundred fifteen".