523312671051261 has 384 divisors, whose sum is σ = 1031913808773120. Its totient is φ = 247679341830144.

The previous prime is 523312671051251. The next prime is 523312671051263. The reversal of 523312671051261 is 162150176213325.

523312671051261 is a `hidden beast` number, since 5 + 2 + 3 + 3 + 1 + 2 + 6 + 71 + 0 + 512 + 61 = 666.

It is not a de Polignac number, because 523312671051261 - 2⁶ = 523312671051197 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523312671051263) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14431018216 + ... + 14431054478.

It is an arithmetic number, because the mean of its divisors is an integer number (2687275543680).

Almost surely, 2^{523312671051261} is an apocalyptic number.

523312671051261 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

523312671051261 is a deficient number, since it is larger than the sum of its proper divisors (508601137721859).

523312671051261 is a wasteful number, since it uses less digits than its factorization.

523312671051261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36785 (or 36782 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 523312671051261 in words is "five hundred twenty-three trillion, three hundred twelve billion, six hundred seventy-one million, fifty-one thousand, two hundred sixty-one".