395051217961 has 27 divisors (see below), whose sum is σ = 414573589533. Its totient is φ = 376439786520.

The previous prime is 395051217949. The next prime is 395051217983. The reversal of 395051217961 is 169712150593.

It is a happy number.

The square root of 395051217961 is 628531.

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

It is not a de Polignac number, because 395051217961 - 2¹⁹ = 395050693673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (395051217161) 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, 1270260996 + ... + 1270261306.

Almost surely, 2^395051217961 is an apocalyptic number.

395051217961 is the 628531-st square number.

395051217961 is the 314266-th centered octagonal number.

It is an amenable number.

395051217961 is a deficient number, since it is larger than the sum of its proper divisors (19522371572).

395051217961 is an frugal number, since it uses more digits than its factorization.

395051217961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 49.

Multiplying 395051217961 by its sum of digits (49), we get a square (19357509680089 = 4399717²).

The spelling of 395051217961 in words is "three hundred ninety-five billion, fifty-one million, two hundred seventeen thousand, nine hundred sixty-one".