505213126033 has 32 divisors (see below), whose sum is σ = 651691008000. Its totient is φ = 380042214720.

The previous prime is 505213125961. The next prime is 505213126037. The reversal of 505213126033 is 330621312505.

It is not a de Polignac number, because 505213126033 - 2¹³ = 505213117841 is a prime.

It is a super-3 number, since 3×505213126033³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 505213125986 and 505213126004.

It is not an unprimeable number, because it can be changed into a prime (505213126037) 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, 21690888 + ... + 21714166.

It is an arithmetic number, because the mean of its divisors is an integer number (20365344000).

Almost surely, 2^505213126033 is an apocalyptic number.

It is an amenable number.

505213126033 is a deficient number, since it is larger than the sum of its proper divisors (146477881967).

505213126033 is a wasteful number, since it uses less digits than its factorization.

505213126033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33045.

The product of its (nonzero) digits is 16200, while the sum is 31.

Adding to 505213126033 its reverse (330621312505), we get a palindrome (835834438538).

The spelling of 505213126033 in words is "five hundred five billion, two hundred thirteen million, one hundred twenty-six thousand, thirty-three".