510435154242 has 96 divisors (see below), whose sum is σ = 1254355502400. Its totient is φ = 148713065856.

The previous prime is 510435154241. The next prime is 510435154277. The reversal of 510435154242 is 242451534015.

510435154242 is a `hidden beast` number, since 5 + 10 + 4 + 351 + 54 + 242 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 510435154197 and 510435154206.

It is not an unprimeable number, because it can be changed into a prime (510435154241) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8769628 + ... + 8827640.

It is an arithmetic number, because the mean of its divisors is an integer number (13066203150).

Almost surely, 2^510435154242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 510435154242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627177751200).

510435154242 is an abundant number, since it is smaller than the sum of its proper divisors (743920348158).

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

510435154242 is a wasteful number, since it uses less digits than its factorization.

510435154242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60032 (or 60029 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 510435154242 its reverse (242451534015), we get a palindrome (752886688257).

The spelling of 510435154242 in words is "five hundred ten billion, four hundred thirty-five million, one hundred fifty-four thousand, two hundred forty-two".