536142241635 has 256 divisors, whose sum is σ = 1234357125120. Its totient is φ = 191409039360.

The previous prime is 536142241573. The next prime is 536142241667.

536142241635 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 536142241635 - 2⁸ = 536142241379 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12756786 + ... + 12798744.

It is an arithmetic number, because the mean of its divisors is an integer number (4821707520).

Almost surely, 2^536142241635 is an apocalyptic number.

536142241635 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

536142241635 is an abundant number, since it is smaller than the sum of its proper divisors (698214883485).

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

536142241635 is a wasteful number, since it uses less digits than its factorization.

536142241635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42058.

The product of its digits is 518400, while the sum is 42.

It can be divided in two parts, 536142 and 241635, that added together give a palindrome (777777).

The spelling of 536142241635 in words is "five hundred thirty-six billion, one hundred forty-two million, two hundred forty-one thousand, six hundred thirty-five".