531256704 has 128 divisors (see below), whose sum is σ = 1550465280. Its totient is φ = 159836160.

The previous prime is 531256699. The next prime is 531256723. The reversal of 531256704 is 407652135.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 730389 + ... + 731115.

It is an arithmetic number, because the mean of its divisors is an integer number (12113010).

Almost surely, 2^531256704 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 531256704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775232640).

531256704 is an abundant number, since it is smaller than the sum of its proper divisors (1019208576).

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

531256704 is a wasteful number, since it uses less digits than its factorization.

531256704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 531256704 is about 23049.0065729523. The cubic root of 531256704 is about 809.9063571062.

The spelling of 531256704 in words is "five hundred thirty-one million, two hundred fifty-six thousand, seven hundred four".