531005147400 has 384 divisors, whose sum is σ = 2031899950080. Its totient is φ = 111709393920.

The previous prime is 531005147371. The next prime is 531005147423. The reversal of 531005147400 is 4741500135.

It is a Cunningham number, because it is equal to 728701²-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 18932187 + ... + 18960213.

It is an arithmetic number, because the mean of its divisors is an integer number (5291406120).

Almost surely, 2^531005147400 is an apocalyptic number.

531005147400 is a gapful number since it is divisible by the number (50) 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 531005147400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015949975040).

531005147400 is an abundant number, since it is smaller than the sum of its proper divisors (1500894802680).

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

531005147400 is a wasteful number, since it uses less digits than its factorization.

531005147400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28413 (or 28404 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

Adding to 531005147400 its reverse (4741500135), we get a palindrome (535746647535).

The spelling of 531005147400 in words is "five hundred thirty-one billion, five million, one hundred forty-seven thousand, four hundred".