510454225040 has 80 divisors (see below), whose sum is σ = 1257326601840. Its totient is φ = 192062668800.

The previous prime is 510454225033. The next prime is 510454225081. The reversal of 510454225040 is 40522454015.

It can be written as a sum of positive squares in 8 ways, for example, as 147775661056 + 362678563984 = 384416^2 + 602228^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×510454225040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 510454224988 and 510454225006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2328140 + ... + 2537940.

It is an arithmetic number, because the mean of its divisors is an integer number (15716582523).

Almost surely, 2^510454225040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 510454225040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628663300920).

510454225040 is an abundant number, since it is smaller than the sum of its proper divisors (746872376800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

510454225040 is a wasteful number, since it uses less digits than its factorization.

510454225040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211620 (or 211614 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 32.

Adding to 510454225040 its reverse (40522454015), we get a palindrome (550976679055).

The spelling of 510454225040 in words is "five hundred ten billion, four hundred fifty-four million, two hundred twenty-five thousand, forty".