531141251040 has 72 divisors (see below), whose sum is σ = 1812519524088. Its totient is φ = 141637666560.

The previous prime is 531141251009. The next prime is 531141251057. The reversal of 531141251040 is 40152141135.

531141251040 is a `hidden beast` number, since 5 + 3 + 1 + 141 + 2 + 510 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×531141251040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 531141250995 and 531141251013.

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 11 ways as a sum of consecutive naturals, for example, 184422606 + ... + 184425485.

It is an arithmetic number, because the mean of its divisors is an integer number (25173882279).

Almost surely, 2^531141251040 is an apocalyptic number.

It is an amenable number.

531141251040 is an abundant number, since it is smaller than the sum of its proper divisors (1281378273048).

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

531141251040 is a wasteful number, since it uses less digits than its factorization.

531141251040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368848112 (or 368848101 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 531141251040 its reverse (40152141135), we get a palindrome (571293392175).

The spelling of 531141251040 in words is "five hundred thirty-one billion, one hundred forty-one million, two hundred fifty-one thousand, forty".