17953052121 has 27 divisors (see below), whose sum is σ = 26414057631. Its totient is φ = 11750299344.

The previous prime is 17953052107. The next prime is 17953052123. The reversal of 17953052121 is 12125035971.

The square root of 17953052121 is 133989.

It is a perfect power (a square), and thus also a powerful number.

17953052121 is a `hidden beast` number, since 1 + 79 + 530 + 52 + 1 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11091249225 + 6861802896 = 105315^2 + 82836^2 .

It is a de Polignac number, because none of the positive numbers 2^k-17953052121 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (17953052123) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23715675 + ... + 23716431.

Almost surely, 2^17953052121 is an apocalyptic number.

17953052121 is the 133989-th square number.

17953052121 is the 66995-th centered octagonal number.

It is an amenable number.

17953052121 is a deficient number, since it is larger than the sum of its proper divisors (8461005510).

17953052121 is an frugal number, since it uses more digits than its factorization.

17953052121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

Multiplying 17953052121 by its sum of digits (36), we get a square (646309876356 = 803934²).

The spelling of 17953052121 in words is "seventeen billion, nine hundred fifty-three million, fifty-two thousand, one hundred twenty-one".