380527363161 has 189 divisors, whose sum is σ = 657809407269. Its totient is φ = 219852111600.

The previous prime is 380527363141. The next prime is 380527363169. The reversal of 380527363161 is 161363725083.

The square root of 380527363161 is 616869.

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

380527363161 is a `hidden beast` number, since 3 + 8 + 0 + 5 + 2 + 7 + 3 + 631 + 6 + 1 = 666.

It is not a de Polignac number, because 380527363161 - 2³¹ = 378379879513 is a prime.

It is a super-2 number, since 2×380527363161² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (380527363169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 5679512850 + ... + 5679512916.

Almost surely, 2^380527363161 is an apocalyptic number.

380527363161 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

380527363161 is the 616869-th square number.

380527363161 is the 308435-th centered octagonal number.

It is an amenable number.

380527363161 is a deficient number, since it is larger than the sum of its proper divisors (277282044108).

380527363161 is an frugal number, since it uses more digits than its factorization.

380527363161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 380527363161 in words is "three hundred eighty billion, five hundred twenty-seven million, three hundred sixty-three thousand, one hundred sixty-one".