1531238479056 has 480 divisors, whose sum is σ = 5214648741120. Its totient is φ = 413031628800.

The previous prime is 1531238479049. The next prime is 1531238479091. The reversal of 1531238479056 is 6509748321351.

It is a happy number.

1531238479056 is a `hidden beast` number, since 1 + 531 + 2 + 38 + 4 + 79 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×1531238479056² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1531238478993 and 1531238479011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 902320000 + ... + 902321696.

It is an arithmetic number, because the mean of its divisors is an integer number (10863851544).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1531238479056 = 3062476958112, but 3⋅1531238479056 = 4593715437168 is not.

Almost surely, 2^{1531238479056} is an apocalyptic number.

1531238479056 is a gapful number since it is divisible by the number (16) 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 1531238479056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607324370560).

1531238479056 is an abundant number, since it is smaller than the sum of its proper divisors (3683410262064).

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

1531238479056 is a wasteful number, since it uses less digits than its factorization.

1531238479056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3275 (or 3266 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1531238479056 in words is "one trillion, five hundred thirty-one billion, two hundred thirty-eight million, four hundred seventy-nine thousand, fifty-six".