215313632361 has 27 divisors (see below), whose sum is σ = 313573029861. Its totient is φ = 142368453504.

The previous prime is 215313632351. The next prime is 215313632363. The reversal of 215313632361 is 163236313512.

The square root of 215313632361 is 464019.

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

215313632361 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 13 + 632 + 3 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32936805225 + 182376827136 = 181485^2 + 427056^2 .

It is not a de Polignac number, because 215313632361 - 2¹⁷ = 215313501289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (215313632363) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 190711245 + ... + 190712373.

Almost surely, 2^215313632361 is an apocalyptic number.

215313632361 is the 464019-th square number.

215313632361 is the 232010-th centered octagonal number.

It is an amenable number.

215313632361 is a deficient number, since it is larger than the sum of its proper divisors (98259397500).

215313632361 is an frugal number, since it uses more digits than its factorization.

215313632361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 1269 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

Multiplying 215313632361 by its sum of digits (36), we get a square (7751290764996 = 2784114²).

Adding to 215313632361 its reverse (163236313512), we get a palindrome (378549945873).

The spelling of 215313632361 in words is "two hundred fifteen billion, three hundred thirteen million, six hundred thirty-two thousand, three hundred sixty-one".