511414350422005 has 32 divisors (see below), whose sum is σ = 632701904633568. Its totient is φ = 396549416448000.

The previous prime is 511414350421993. The next prime is 511414350422023. The reversal of 511414350422005 is 500224053414115.

It can be written as a sum of positive squares in 16 ways, for example, as 13948477074756 + 497465873347249 = 3734766^2 + 22303943^2 .

It is not a de Polignac number, because 511414350422005 - 2²¹ = 511414348324853 is a prime.

It is a super-2 number, since 2×511414350422005² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46267489 + ... + 56245081.

It is an arithmetic number, because the mean of its divisors is an integer number (19771934519799).

Almost surely, 2^{511414350422005} is an apocalyptic number.

It is an amenable number.

511414350422005 is a deficient number, since it is larger than the sum of its proper divisors (121287554211563).

511414350422005 is a wasteful number, since it uses less digits than its factorization.

511414350422005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9978697.

The product of its (nonzero) digits is 96000, while the sum is 37.

The spelling of 511414350422005 in words is "five hundred eleven trillion, four hundred fourteen billion, three hundred fifty million, four hundred twenty-two thousand, five".