75284933161 has 27 divisors (see below), whose sum is σ = 79764900663. Its totient is φ = 71053703760.

The previous prime is 75284933147. The next prime is 75284933167. The reversal of 75284933161 is 16133948257.

The square root of 75284933161 is 274381.

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

It can be written as a sum of positive squares in only one way, i.e., 54272691225 + 21012241936 = 232965^2 + 144956^2 .

It is not a de Polignac number, because 75284933161 - 2⁷ = 75284933033 is a prime.

It is a super-2 number, since 2×75284933161² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75284933167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 450807900 + ... + 450808066.

Almost surely, 2^75284933161 is an apocalyptic number.

75284933161 is the 274381-st square number.

75284933161 is the 137191-st centered octagonal number.

It is an amenable number.

75284933161 is a deficient number, since it is larger than the sum of its proper divisors (4479967502).

75284933161 is an frugal number, since it uses more digits than its factorization.

75284933161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 251 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

Multiplying 75284933161 by its sum of digits (49), we get a square (3688961724889 = 1920667²).

The spelling of 75284933161 in words is "seventy-five billion, two hundred eighty-four million, nine hundred thirty-three thousand, one hundred sixty-one".