741613800825 has 36 divisors (see below), whose sum is σ = 1406448768348. Its totient is φ = 372261043200.

The previous prime is 741613800793. The next prime is 741613800839. The reversal of 741613800825 is 528008316147.

741613800825 is a `hidden beast` number, since 7 + 4 + 1 + 613 + 8 + 0 + 0 + 8 + 25 = 666.

741613800825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 18120659769 + 723493141056 = 134613^2 + 850584^2 .

It is not a de Polignac number, because 741613800825 - 2⁵ = 741613800793 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96939156 + ... + 96946805.

It is an arithmetic number, because the mean of its divisors is an integer number (39068021343).

Almost surely, 2^741613800825 is an apocalyptic number.

741613800825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

741613800825 is a deficient number, since it is larger than the sum of its proper divisors (664834967523).

741613800825 is a wasteful number, since it uses less digits than its factorization.

741613800825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193885994 (or 193885986 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 741613800825 in words is "seven hundred forty-one billion, six hundred thirteen million, eight hundred thousand, eight hundred twenty-five".