36952757361 has 135 divisors (see below), whose sum is σ = 62951641137. Its totient is φ = 21591385920.

The previous prime is 36952757323. The next prime is 36952757389. The reversal of 36952757361 is 16375725963.

The square root of 36952757361 is 192231.

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

36952757361 is a `hidden beast` number, since 3 + 6 + 9 + 5 + 2 + 7 + 573 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 959078961 + 35993678400 = 30969^2 + 189720^2 .

It is not a de Polignac number, because 36952757361 - 2²⁹ = 36415886449 is a prime.

Its product of digits (7144200) is a multiple of the sum of its prime divisors (100).

It is a junction number, because it is equal to n+sod(n) for n = 36952757298 and 36952757307.

It is not an unprimeable number, because it can be changed into a prime (36952757321) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 697221811 + ... + 697221863.

Almost surely, 2^36952757361 is an apocalyptic number.

36952757361 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

36952757361 is the 192231-st square number.

36952757361 is the 96116-th centered octagonal number.

It is an amenable number.

36952757361 is a deficient number, since it is larger than the sum of its proper divisors (25998883776).

36952757361 is an equidigital number, since it uses as much as digits as its factorization.

36952757361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 100 counting only the distinct ones).

The product of its digits is 7144200, while the sum is 54.

The spelling of 36952757361 in words is "thirty-six billion, nine hundred fifty-two million, seven hundred fifty-seven thousand, three hundred sixty-one".