1051584135012 has 48 divisors (see below), whose sum is σ = 2727701878720. Its totient is φ = 350351562816.

The previous prime is 1051584134933. The next prime is 1051584135047. The reversal of 1051584135012 is 2105314851501.

1051584135012 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 584 + 13 + 50 + 12 = 666.

It is a super-2 number, since 2×1051584135012² (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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2235553 + ... + 2664744.

Almost surely, 2^{1051584135012} is an apocalyptic number.

1051584135012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1051584135012 is an abundant number, since it is smaller than the sum of its proper divisors (1676117743708).

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

1051584135012 is a wasteful number, since it uses less digits than its factorization.

1051584135012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4902297 (or 4902289 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

Adding to 1051584135012 its reverse (2105314851501), we get a palindrome (3156898986513).

The spelling of 1051584135012 in words is "one trillion, fifty-one billion, five hundred eighty-four million, one hundred thirty-five thousand, twelve".