531879409152 has 320 divisors, whose sum is σ = 1937727644160. Its totient is φ = 140275556352.

The previous prime is 531879409151. The next prime is 531879409153. The reversal of 531879409152 is 251904978135.

It is a happy number.

531879409152 is a `hidden beast` number, since 5 + 3 + 1 + 87 + 9 + 409 + 152 = 666.

It is an interprime number because it is at equal distance from previous prime (531879409151) and next prime (531879409153).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531879409151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1046583 + ... + 1469385.

It is an arithmetic number, because the mean of its divisors is an integer number (6055398888).

Almost surely, 2^531879409152 is an apocalyptic number.

531879409152 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 531879409152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968863822080).

531879409152 is an abundant number, since it is smaller than the sum of its proper divisors (1405848235008).

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

531879409152 is a wasteful number, since it uses less digits than its factorization.

531879409152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422850 (or 422828 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 531879409152 in words is "five hundred thirty-one billion, eight hundred seventy-nine million, four hundred nine thousand, one hundred fifty-two".