73825262373825 has 144 divisors (see below), whose sum is σ = 138514324515840. Its totient is φ = 37540703232000.

The previous prime is 73825262373817. The next prime is 73825262373851. The reversal of 73825262373825 is 52837326252837.

73825262373825 is a `hidden beast` number, since 7 + 3 + 8 + 2 + 526 + 23 + 7 + 3 + 82 + 5 = 666.

It is not a de Polignac number, because 73825262373825 - 2³ = 73825262373817 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 472945540 + ... + 473101610.

It is an arithmetic number, because the mean of its divisors is an integer number (961905031360).

Almost surely, 2^{73825262373825} is an apocalyptic number.

73825262373825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

73825262373825 is a deficient number, since it is larger than the sum of its proper divisors (64689062142015).

73825262373825 is a wasteful number, since it uses less digits than its factorization.

73825262373825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157120 (or 157112 counting only the distinct ones).

The product of its digits is 203212800, while the sum is 63.

The spelling of 73825262373825 in words is "seventy-three trillion, eight hundred twenty-five billion, two hundred sixty-two million, three hundred seventy-three thousand, eight hundred twenty-five".