361026731025 has 81 divisors (see below), whose sum is σ = 663474440083. Its totient is φ = 187659033600.

The previous prime is 361026730991. The next prime is 361026731069. The reversal of 361026731025 is 520137620163.

The square root of 361026731025 is 600855.

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

361026731025 is a `hidden beast` number, since 3 + 61 + 0 + 267 + 310 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 243166348161 + 117860382864 = 493119^2 + 343308^2 .

It is not a de Polignac number, because 361026731025 - 2³⁵ = 326666992657 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 369525337 + ... + 369526313.

Almost surely, 2^361026731025 is an apocalyptic number.

361026731025 is the 600855-th square number.

361026731025 is the 300428-th centered octagonal number.

It is an amenable number.

361026731025 is a deficient number, since it is larger than the sum of its proper divisors (302447709058).

361026731025 is an frugal number, since it uses more digits than its factorization.

361026731025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Multiplying 361026731025 by its sum of digits (36), we get a square (12996962316900 = 3605130²).

The spelling of 361026731025 in words is "three hundred sixty-one billion, twenty-six million, seven hundred thirty-one thousand, twenty-five".