392087616561 has 27 divisors (see below), whose sum is σ = 585294356907. Its totient is φ = 252922182480.

The previous prime is 392087616553. The next prime is 392087616581. The reversal of 392087616561 is 165616780293.

The square root of 392087616561 is 626169.

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

392087616561 is a `hidden beast` number, since 3 + 9 + 2 + 0 + 8 + 76 + 1 + 6 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 389994005025 + 2093611536 = 624495^2 + 45756^2 .

It is not a de Polignac number, because 392087616561 - 2³ = 392087616553 is a prime.

It is a super-2 number, since 2×392087616561² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 392087616498 and 392087616507.

It is not an unprimeable number, because it can be changed into a prime (392087616581) 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, 58230351 + ... + 58237083.

Almost surely, 2^392087616561 is an apocalyptic number.

392087616561 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

392087616561 is the 626169-th square number.

392087616561 is the 313085-th centered octagonal number.

It is an amenable number.

392087616561 is a deficient number, since it is larger than the sum of its proper divisors (193206740346).

392087616561 is an frugal number, since it uses more digits than its factorization.

392087616561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13534 (or 6767 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 392087616561 in words is "three hundred ninety-two billion, eighty-seven million, six hundred sixteen thousand, five hundred sixty-one".