293115042801 has 135 divisors (see below), whose sum is σ = 515602508811. Its totient is φ = 160445269152.

The previous prime is 293115042769. The next prime is 293115042821. The reversal of 293115042801 is 108240511392.

The square root of 293115042801 is 541401.

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., 153702418401 + 139412624400 = 392049^2 + 373380^2 .

It is not a de Polignac number, because 293115042801 - 2⁵ = 293115042769 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (293115042821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2307992400 + ... + 2307992526.

Almost surely, 2^293115042801 is an apocalyptic number.

293115042801 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

293115042801 is the 541401-st square number.

293115042801 is the 270701-st centered octagonal number.

It is an amenable number.

293115042801 is a deficient number, since it is larger than the sum of its proper divisors (222487466010).

293115042801 is an frugal number, since it uses more digits than its factorization.

293115042801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 293115042801 by its sum of digits (36), we get a square (10552141540836 = 3248406²).

The spelling of 293115042801 in words is "two hundred ninety-three billion, one hundred fifteen million, forty-two thousand, eight hundred one".