536535141535635 has 48 divisors (see below), whose sum is σ = 944134369694880. Its totient is φ = 259988830041600.

The previous prime is 536535141535619. The next prime is 536535141535651.

536535141535635 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (536535141535619) and next prime (536535141535651).

It is not a de Polignac number, because 536535141535635 - 2⁴ = 536535141535619 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81737170 + ... + 88056999.

It is an arithmetic number, because the mean of its divisors is an integer number (19669466035310).

Almost surely, 2^{536535141535635} is an apocalyptic number.

536535141535635 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

536535141535635 is a deficient number, since it is larger than the sum of its proper divisors (407599228159245).

536535141535635 is a wasteful number, since it uses less digits than its factorization.

536535141535635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169795940 (or 169795929 counting only the distinct ones).

The product of its digits is 182250000, while the sum is 60.

The spelling of 536535141535635 in words is "five hundred thirty-six trillion, five hundred thirty-five billion, one hundred forty-one million, five hundred thirty-five thousand, six hundred thirty-five".