75324502902961 has 27 divisors (see below), whose sum is σ = 82738176282027. Its totient is φ = 68543719891920.

The previous prime is 75324502902949. The next prime is 75324502902991. The reversal of 75324502902961 is 16920920542357.

The square root of 75324502902961 is 8678969.

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., 11142677944225 + 64181824958736 = 3338065^2 + 8011356^2 .

It is not a de Polignac number, because 75324502902961 - 2¹⁹ = 75324502378673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75324502902991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8010683686 + ... + 8010693088.

Almost surely, 2^{75324502902961} is an apocalyptic number.

75324502902961 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

75324502902961 is the 8678969-th square number.

75324502902961 is the 4339485-th centered octagonal number.

It is an amenable number.

75324502902961 is a deficient number, since it is larger than the sum of its proper divisors (7413673379066).

75324502902961 is an frugal number, since it uses more digits than its factorization.

75324502902961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18974 (or 9487 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 55.

The spelling of 75324502902961 in words is "seventy-five trillion, three hundred twenty-four billion, five hundred two million, nine hundred two thousand, nine hundred sixty-one".