1052431632540 has 72 divisors (see below), whose sum is σ = 3237339032928. Its totient is φ = 276695637120.

The previous prime is 1052431632409. The next prime is 1052431632601. The reversal of 1052431632540 is 452361342501.

1052431632540 is a `hidden beast` number, since 1 + 0 + 5 + 24 + 31 + 63 + 2 + 540 = 666.

It is a super-2 number, since 2×1052431632540² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1052431632495 and 1052431632504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41162167 + ... + 41187726.

It is an arithmetic number, because the mean of its divisors is an integer number (44963042124).

Almost surely, 2^{1052431632540} is an apocalyptic number.

1052431632540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052431632540 is an abundant number, since it is smaller than the sum of its proper divisors (2184907400388).

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

1052431632540 is a wasteful number, since it uses less digits than its factorization.

1052431632540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82349979 (or 82349974 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 1052431632540 in words is "one trillion, fifty-two billion, four hundred thirty-one million, six hundred thirty-two thousand, five hundred forty".