31782026378025 has 405 divisors, whose sum is σ = 75320930790567. Its totient is φ = 13199996779200.

The previous prime is 31782026377991. The next prime is 31782026378087. The reversal of 31782026378025 is 52087362028713.

The square root of 31782026378025 is 5637555.

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

It can be written as a sum of positive squares in only one way, i.e., 11441529496089 + 20340496881936 = 3382533^2 + 4510044^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 31782026378025 - 2³³ = 31773436443433 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 19534127262 + ... + 19534128888.

Almost surely, 2^{31782026378025} is an apocalyptic number.

31782026378025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

31782026378025 is the 5637555-th square number.

31782026378025 is the 2818778-th centered octagonal number.

It is an amenable number.

31782026378025 is an abundant number, since it is smaller than the sum of its proper divisors (43538904412542).

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

31782026378025 is an equidigital number, since it uses as much as digits as its factorization.

31782026378025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 31782026378025 in words is "thirty-one trillion, seven hundred eighty-two billion, twenty-six million, three hundred seventy-eight thousand, twenty-five".