75541216188025 has 81 divisors (see below), whose sum is σ = 112864487298381. Its totient is φ = 50007654204480.

The previous prime is 75541216188023. The next prime is 75541216188059. The reversal of 75541216188025 is 52088161214557.

The square root of 75541216188025 is 8691445.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1038354886009 + 74502861302016 = 1018997^2 + 8631504^2 .

It is not a de Polignac number, because 75541216188025 - 2¹ = 75541216188023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75541216188023) 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, 8821812394 + ... + 8821820956.

Almost surely, 2^{75541216188025} is an apocalyptic number.

75541216188025 is the 8691445-th square number.

75541216188025 is the 4345723-rd centered octagonal number.

It is an amenable number.

75541216188025 is a deficient number, since it is larger than the sum of its proper divisors (37323271110356).

75541216188025 is an frugal number, since it uses more digits than its factorization.

75541216188025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17208 (or 8604 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 55.

The spelling of 75541216188025 in words is "seventy-five trillion, five hundred forty-one billion, two hundred sixteen million, one hundred eighty-eight thousand, twenty-five".