510142133113353 has 48 divisors (see below), whose sum is σ = 808147329312960. Its totient is φ = 308192588491392.

The previous prime is 510142133113337. The next prime is 510142133113373. The reversal of 510142133113353 is 353311331241015.

510142133113353 is a `hidden beast` number, since 5 + 1 + 0 + 1 + 4 + 2 + 1 + 3 + 311 + 335 + 3 = 666.

It is not a de Polignac number, because 510142133113353 - 2⁴ = 510142133113337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (510142133113303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108756843 + ... + 113350496.

It is an arithmetic number, because the mean of its divisors is an integer number (16836402694020).

Almost surely, 2^{510142133113353} is an apocalyptic number.

It is an amenable number.

510142133113353 is a deficient number, since it is larger than the sum of its proper divisors (298005196199607).

510142133113353 is a wasteful number, since it uses less digits than its factorization.

510142133113353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222107718 (or 222107715 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Adding to 510142133113353 its reverse (353311331241015), we get a palindrome (863453464354368).

The spelling of 510142133113353 in words is "five hundred ten trillion, one hundred forty-two billion, one hundred thirty-three million, one hundred thirteen thousand, three hundred fifty-three".