532825308997632 has 1536 divisors, whose sum is σ = 1907294286643200. Its totient is φ = 143785879142400.

The previous prime is 532825308997621. The next prime is 532825308997643. The reversal of 532825308997632 is 236799803528235.

It is a happy number.

532825308997632 is a `hidden beast` number, since 5 + 3 + 2 + 8 + 2 + 530 + 89 + 9 + 7 + 6 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (532825308997621) and next prime (532825308997643).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84966558657 + ... + 84966564927.

It is an arithmetic number, because the mean of its divisors is an integer number (1241728051200).

Almost surely, 2^{532825308997632} 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 532825308997632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953647143321600).

532825308997632 is an abundant number, since it is smaller than the sum of its proper divisors (1374468977645568).

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

532825308997632 is a wasteful number, since it uses less digits than its factorization.

532825308997632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6510 (or 6484 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 532825308997632 in words is "five hundred thirty-two trillion, eight hundred twenty-five billion, three hundred eight million, nine hundred ninety-seven thousand, six hundred thirty-two".