531347692096 has 189 divisors, whose sum is σ = 1176124029129. Its totient is φ = 238064666112.

The previous prime is 531347692079. The next prime is 531347692097. The reversal of 531347692096 is 690296743135.

The square root of 531347692096 is 728936.

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., 78601729600 + 452745962496 = 280360^2 + 672864^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (531347692097) 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, 3259801711 + ... + 3259801873.

It is an arithmetic number, because the mean of its divisors is an integer number (6222878461).

Almost surely, 2^531347692096 is an apocalyptic number.

531347692096 is the 728936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531347692096

531347692096 is an abundant number, since it is smaller than the sum of its proper divisors (644776337033).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

531347692096 is an equidigital number, since it uses as much as digits as its factorization.

531347692096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 55.

The spelling of 531347692096 in words is "five hundred thirty-one billion, three hundred forty-seven million, six hundred ninety-two thousand, ninety-six".