531157864970772 has 480 divisors, whose sum is σ = 1572420134023200. Its totient is φ = 155215525183488.

The previous prime is 531157864970767. The next prime is 531157864970779. The reversal of 531157864970772 is 277079468751135.

531157864970772 is a `hidden beast` number, since 5 + 3 + 1 + 1 + 57 + 86 + 497 + 0 + 7 + 7 + 2 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 270918893028996 + 260238971941776 = 16459614^2 + 16131924^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 531157864970772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531157864970779) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2098009618 + ... + 2098262774.

It is an arithmetic number, because the mean of its divisors is an integer number (3275875279215).

It is a 1-persistent number, because it is pandigital, but 2⋅531157864970772 = 1062315729941544 is not.

Almost surely, 2^{531157864970772} is an apocalyptic number.

531157864970772 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531157864970772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786210067011600).

531157864970772 is an abundant number, since it is smaller than the sum of its proper divisors (1041262269052428).

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

531157864970772 is a wasteful number, since it uses less digits than its factorization.

531157864970772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253497 (or 253486 counting only the distinct ones).

The product of its (nonzero) digits is 622339200, while the sum is 72.

The spelling of 531157864970772 in words is "five hundred thirty-one trillion, one hundred fifty-seven billion, eight hundred sixty-four million, nine hundred seventy thousand, seven hundred seventy-two".