505621061001441 has 192 divisors, whose sum is σ = 951119621996544. Its totient is φ = 250982742067200.

The previous prime is 505621061001439. The next prime is 505621061001457. The reversal of 505621061001441 is 144100160126505.

505621061001441 is a `hidden beast` number, since 5 + 0 + 5 + 6 + 2 + 106 + 100 + 1 + 441 = 666.

It is not a de Polignac number, because 505621061001441 - 2¹ = 505621061001439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505621061001396 and 505621061001405.

It is not an unprimeable number, because it can be changed into a prime (505621061001401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 105712115736 + ... + 105712120518.

It is an arithmetic number, because the mean of its divisors is an integer number (4953748031232).

Almost surely, 2^{505621061001441} is an apocalyptic number.

It is an amenable number.

505621061001441 is a deficient number, since it is larger than the sum of its proper divisors (445498560995103).

505621061001441 is a wasteful number, since it uses less digits than its factorization.

505621061001441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10244 (or 10241 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 505621061001441 in words is "five hundred five trillion, six hundred twenty-one billion, sixty-one million, one thousand, four hundred forty-one".