353964312601 has 27 divisors (see below), whose sum is σ = 381692011071. Its totient is φ = 328183387584.

The previous prime is 353964312587. The next prime is 353964312613. The reversal of 353964312601 is 106213469353.

The square root of 353964312601 is 594949.

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

It can be written as a sum of positive squares in only one way, i.e., 275577752025 + 78386560576 = 524955^2 + 279976^2 .

It is not a de Polignac number, because 353964312601 - 2¹³ = 353964304409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (353964312631) 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, 799016286 + ... + 799016728.

Almost surely, 2^353964312601 is an apocalyptic number.

353964312601 is the 594949-th square number.

353964312601 is the 297475-th centered octagonal number.

It is an amenable number.

353964312601 is a deficient number, since it is larger than the sum of its proper divisors (27727698470).

353964312601 is an frugal number, since it uses more digits than its factorization.

353964312601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 43.

The spelling of 353964312601 in words is "three hundred fifty-three billion, nine hundred sixty-four million, three hundred twelve thousand, six hundred one".