75752103361 has 27 divisors (see below), whose sum is σ = 84346763137. Its totient is φ = 67982057000.

The previous prime is 75752103341. The next prime is 75752103419. The reversal of 75752103361 is 16330125757.

It is a happy number.

The square root of 75752103361 is 275231.

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

It is not a de Polignac number, because 75752103361 - 2¹³ = 75752095169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75752103311) 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, 396607776 + ... + 396607966.

Almost surely, 2^75752103361 is an apocalyptic number.

75752103361 is the 275231-st square number.

75752103361 is the 137616-th centered octagonal number.

It is an amenable number.

75752103361 is a deficient number, since it is larger than the sum of its proper divisors (8594659776).

75752103361 is an equidigital number, since it uses as much as digits as its factorization.

75752103361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 40.

The spelling of 75752103361 in words is "seventy-five billion, seven hundred fifty-two million, one hundred three thousand, three hundred sixty-one".