531677952 has 288 divisors, whose sum is σ = 1738708160. Its totient is φ = 159252480.

The previous prime is 531677947. The next prime is 531677963. The reversal of 531677952 is 259776135.

531677952 is a `hidden beast` number, since 531 + 67 + 7 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (396900) is a multiple of the sum of its prime factors (196).

It is a junction number, because it is equal to n+sod(n) for n = 531677898 and 531677907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5481168 + ... + 5481264.

Almost surely, 2^531677952 is an apocalyptic number.

531677952 is a gapful number since it is divisible by the number (52) 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 531677952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869354080).

531677952 is an abundant number, since it is smaller than the sum of its proper divisors (1207030208).

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

531677952 is a wasteful number, since it uses less digits than its factorization.

531677952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 176 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The square root of 531677952 is about 23058.1428567003. The cubic root of 531677952 is about 810.1203662005.

The spelling of 531677952 in words is "five hundred thirty-one million, six hundred seventy-seven thousand, nine hundred fifty-two".