531355101345 has 96 divisors (see below), whose sum is σ = 951502616064. Its totient is φ = 274104000000.

The previous prime is 531355101257. The next prime is 531355101359. The reversal of 531355101345 is 543101553135.

531355101345 is a `hidden beast` number, since 5 + 3 + 1 + 3 + 5 + 510 + 134 + 5 = 666.

It is not a de Polignac number, because 531355101345 - 2²⁵ = 531321546913 is a prime.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 313853319 + ... + 313855011.

It is an arithmetic number, because the mean of its divisors is an integer number (9911485584).

Almost surely, 2^531355101345 is an apocalyptic number.

It is an amenable number.

531355101345 is a deficient number, since it is larger than the sum of its proper divisors (420147514719).

531355101345 is a wasteful number, since it uses less digits than its factorization.

531355101345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 531355101345 in words is "five hundred thirty-one billion, three hundred fifty-five million, one hundred one thousand, three hundred forty-five".