1525381632000 has 520 divisors, whose sum is σ = 5686986989112. Its totient is φ = 406757376000.

The previous prime is 1525381631971. The next prime is 1525381632023. The reversal of 1525381632000 is 2361835251.

1525381632000 is a `hidden beast` number, since 1 + 5 + 253 + 81 + 6 + 320 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 437248917504 + 1088132714496 = 661248^2 + 1043136^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41453610 + ... + 41490390.

Almost surely, 2^{1525381632000} is an apocalyptic number.

1525381632000 is a gapful number since it is divisible by the number (10) 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 1525381632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843493494556).

1525381632000 is an abundant number, since it is smaller than the sum of its proper divisors (4161605357112).

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

1525381632000 is an frugal number, since it uses more digits than its factorization.

1525381632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36832 (or 36791 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1525381632000 in words is "one trillion, five hundred twenty-five billion, three hundred eighty-one million, six hundred thirty-two thousand".