53142624135 has 24 divisors (see below), whose sum is σ = 92152625760. Its totient is φ = 28330811712.

The previous prime is 53142624127. The next prime is 53142624151.

53142624135 is a `hidden beast` number, since 5 + 3 + 14 + 2 + 624 + 13 + 5 = 666.

53142624135 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 53142624135 - 2³ = 53142624127 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 53142624135.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 139659 + ... + 354668.

It is an arithmetic number, because the mean of its divisors is an integer number (3839692740).

Almost surely, 2^53142624135 is an apocalyptic number.

53142624135 is a deficient number, since it is larger than the sum of its proper divisors (39010001625).

53142624135 is a wasteful number, since it uses less digits than its factorization.

53142624135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496727 (or 496724 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 53142624135 in words is "fifty-three billion, one hundred forty-two million, six hundred twenty-four thousand, one hundred thirty-five".