351671295915801 has 27 divisors (see below), whose sum is σ = 512957727074559. Its totient is φ = 232167515401152.

The previous prime is 351671295915787. The next prime is 351671295915829. The reversal of 351671295915801 is 108519592176153.

The square root of 351671295915801 is 18752901.

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

351671295915801 is a `hidden beast` number, since 3 + 5 + 16 + 7 + 1 + 29 + 591 + 5 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 218971954885401 + 132699341030400 = 14797701^2 + 11519520^2 .

It is not a de Polignac number, because 351671295915801 - 2¹⁷ = 351671295784729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (351671295910801) 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, 5794616065 + ... + 5794676753.

Almost surely, 2^{351671295915801} is an apocalyptic number.

351671295915801 is the 18752901-st square number.

351671295915801 is the 9376451-st centered octagonal number.

It is an amenable number.

351671295915801 is a deficient number, since it is larger than the sum of its proper divisors (161286431158758).

351671295915801 is an frugal number, since it uses more digits than its factorization.

351671295915801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121590 (or 60795 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 63.

The spelling of 351671295915801 in words is "three hundred fifty-one trillion, six hundred seventy-one billion, two hundred ninety-five million, nine hundred fifteen thousand, eight hundred one".