493901133961 has 27 divisors (see below), whose sum is σ = 516514511487. Its totient is φ = 472268832000.

The previous prime is 493901133931. The next prime is 493901133991. The reversal of 493901133961 is 169331109394.

The square root of 493901133961 is 702781.

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

It is an interprime number because it is at equal distance from previous prime (493901133931) and next prime (493901133991).

It can be written as a sum of positive squares in 13 ways, for example, as 473799565561 + 20101568400 = 688331^2 + 141780^2 .

It is not a de Polignac number, because 493901133961 - 2¹³ = 493901125769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (493901133931) 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, 1757655141 + ... + 1757655421.

Almost surely, 2^493901133961 is an apocalyptic number.

493901133961 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

493901133961 is the 702781-st square number.

493901133961 is the 351391-st centered octagonal number.

It is an amenable number.

493901133961 is a deficient number, since it is larger than the sum of its proper divisors (22613377526).

493901133961 is an frugal number, since it uses more digits than its factorization.

493901133961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 49.

Multiplying 493901133961 by its sum of digits (49), we get a square (24201155564089 = 4919467²).

The spelling of 493901133961 in words is "four hundred ninety-three billion, nine hundred one million, one hundred thirty-three thousand, nine hundred sixty-one".