164505256513 has 8 divisors (see below), whose sum is σ = 177568657448. Its totient is φ = 151500305664.

The previous prime is 164505256507. The next prime is 164505256547. The reversal of 164505256513 is 315652505461.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1554172929 + 162951083584 = 39423^2 + 403672^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 164505256513 - 2¹⁷ = 164505125441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164505256513.

It is not an unprimeable number, because it can be changed into a prime (164505250513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14606670 + ... + 14617927.

It is an arithmetic number, because the mean of its divisors is an integer number (22196082181).

Almost surely, 2^164505256513 is an apocalyptic number.

164505256513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

164505256513 is a deficient number, since it is larger than the sum of its proper divisors (13063400935).

164505256513 is a wasteful number, since it uses less digits than its factorization.

164505256513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29225043.

The product of its (nonzero) digits is 540000, while the sum is 43.

The spelling of 164505256513 in words is "one hundred sixty-four billion, five hundred five million, two hundred fifty-six thousand, five hundred thirteen".