531215451551040 has 448 divisors, whose sum is σ = 1786952727742464. Its totient is φ = 133420393193472.

The previous prime is 531215451551023. The next prime is 531215451551051. The reversal of 531215451551040 is 40155154512135.

It is a junction number, because it is equal to n+sod(n) for n = 531215451550983 and 531215451551001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3605126647 + ... + 3605273993.

Almost surely, 2^{531215451551040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531215451551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893476363871232).

531215451551040 is an abundant number, since it is smaller than the sum of its proper divisors (1255737276191424).

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

531215451551040 is a wasteful number, since it uses less digits than its factorization.

531215451551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149894 (or 149884 counting only the distinct ones).

The product of its (nonzero) digits is 300000, while the sum is 42.

The spelling of 531215451551040 in words is "five hundred thirty-one trillion, two hundred fifteen billion, four hundred fifty-one million, five hundred fifty-one thousand, forty".