1000132503552 has 576 divisors, whose sum is σ = 3666590928000. Its totient is φ = 263753957376.

The previous prime is 1000132503527. The next prime is 1000132503571. The reversal of 1000132503552 is 2553052310001.

It is a happy number.

1000132503552 is a `hidden beast` number, since 100 + 0 + 1 + 3 + 2 + 5 + 0 + 3 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1000132503552² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65407524 + ... + 65422812.

It is an arithmetic number, because the mean of its divisors is an integer number (6365609250).

Almost surely, 2^{1000132503552} is an apocalyptic number.

1000132503552 is a gapful number since it is divisible by the number (12) 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 1000132503552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833295464000).

1000132503552 is an abundant number, since it is smaller than the sum of its proper divisors (2666458424448).

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

1000132503552 is a wasteful number, since it uses less digits than its factorization.

1000132503552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15353 (or 15314 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 1000132503552 its reverse (2553052310001), we get a palindrome (3553184813553).

The spelling of 1000132503552 in words is "one trillion, one hundred thirty-two million, five hundred three thousand, five hundred fifty-two".