36961985025 has 81 divisors (see below), whose sum is σ = 77053761603. Its totient is φ = 16887679200.

The previous prime is 36961984999. The next prime is 36961985051. The reversal of 36961985025 is 52058916963.

It is a happy number.

The square root of 36961985025 is 192255.

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

36961985025 is a `hidden beast` number, since 36 + 96 + 19 + 8 + 502 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (36961984999) and next prime (36961985051).

It can be written as a sum of positive squares in only one way, i.e., 13306314609 + 23655670416 = 115353^2 + 153804^2 .

It is not a de Polignac number, because 36961985025 - 2⁵ = 36961984993 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 20185860 + ... + 20187690.

Almost surely, 2^36961985025 is an apocalyptic number.

36961985025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

36961985025 is the 192255-th square number.

36961985025 is the 96128-th centered octagonal number.

It is an amenable number.

36961985025 is an abundant number, since it is smaller than the sum of its proper divisors (40091776578).

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

36961985025 is an equidigital number, since it uses as much as digits as its factorization.

36961985025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 36961985025 in words is "thirty-six billion, nine hundred sixty-one million, nine hundred eighty-five thousand, twenty-five".