75424383225 has 135 divisors (see below), whose sum is σ = 148828378237. Its totient is φ = 37754622720.

The previous prime is 75424383197. The next prime is 75424383227. The reversal of 75424383225 is 52238342457.

The square root of 75424383225 is 274635.

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

75424383225 is a `hidden beast` number, since 7 + 5 + 42 + 4 + 383 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1764252009 + 73660131216 = 42003^2 + 271404^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 75424383225 - 2⁵ = 75424383193 is a prime.

It is a super-2 number, since 2×75424383225² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

Its product of digits (1612800) is a multiple of the sum of its prime divisors (384).

It is not an unprimeable number, because it can be changed into a prime (75424383227) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 210095596 + ... + 210095954.

Almost surely, 2^75424383225 is an apocalyptic number.

75424383225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

75424383225 is the 274635-th square number.

75424383225 is the 137318-th centered octagonal number.

It is an amenable number.

75424383225 is a deficient number, since it is larger than the sum of its proper divisors (73403995012).

75424383225 is an equidigital number, since it uses as much as digits as its factorization.

75424383225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 384 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The spelling of 75424383225 in words is "seventy-five billion, four hundred twenty-four million, three hundred eighty-three thousand, two hundred twenty-five".