757824221961 has 81 divisors (see below), whose sum is σ = 1145867798439. Its totient is φ = 482622386400.

The previous prime is 757824221941. The next prime is 757824221963. The reversal of 757824221961 is 169122428757.

The square root of 757824221961 is 870531.

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

757824221961 is a `hidden beast` number, since 7 + 57 + 82 + 422 + 1 + 96 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24643034361 + 733181187600 = 156981^2 + 856260^2 .

It is not a de Polignac number, because 757824221961 - 2¹⁷ = 757824090889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 757824221898 and 757824221907.

It is not an unprimeable number, because it can be changed into a prime (757824221963) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10673580556 + ... + 10673580626.

Almost surely, 2^757824221961 is an apocalyptic number.

757824221961 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

757824221961 is the 870531-st square number.

757824221961 is the 435266-th centered octagonal number.

It is an amenable number.

757824221961 is a deficient number, since it is larger than the sum of its proper divisors (388043576478).

757824221961 is an frugal number, since it uses more digits than its factorization.

757824221961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 202 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 757824221961 in words is "seven hundred fifty-seven billion, eight hundred twenty-four million, two hundred twenty-one thousand, nine hundred sixty-one".