73390833254025 has 243 divisors, whose sum is σ = 154934677422759. Its totient is φ = 33112158085440.

The previous prime is 73390833254003. The next prime is 73390833254027. The reversal of 73390833254025 is 52045233809337.

The square root of 73390833254025 is 8566845.

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

73390833254025 is a `hidden beast` number, since 7 + 3 + 3 + 90 + 8 + 3 + 3 + 2 + 540 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26420699971449 + 46970133282576 = 5140107^2 + 6853476^2 .

It is not a de Polignac number, because 73390833254025 - 2⁵ = 73390833253993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73390833254027) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 74660053684 + ... + 74660054666.

Almost surely, 2^{73390833254025} is an apocalyptic number.

73390833254025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

73390833254025 is the 8566845-th square number.

73390833254025 is the 4283423-rd centered octagonal number.

It is an amenable number.

73390833254025 is an abundant number, since it is smaller than the sum of its proper divisors (81543844168734).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73390833254025 is an frugal number, since it uses more digits than its factorization.

73390833254025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 73390833254025 in words is "seventy-three trillion, three hundred ninety billion, eight hundred thirty-three million, two hundred fifty-four thousand, twenty-five".