1051135680 has 112 divisors (see below), whose sum is σ = 3814145280. Its totient is φ = 240258048.

The previous prime is 1051135643. The next prime is 1051135691. The reversal of 1051135680 is 865311501.

1051135680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1051135680² = 2209772435538124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 71490 + ... + 84929.

Almost surely, 2^1051135680 is an apocalyptic number.

1051135680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1051135680 is an abundant number, since it is smaller than the sum of its proper divisors (2763009600).

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

1051135680 is a wasteful number, since it uses less digits than its factorization.

1051135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156446 (or 156436 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 1051135680 is about 32421.2226789799. Note that the first 3 decimals coincide. The cubic root of 1051135680 is about 1016.7626695451.

It can be divided in two parts, 105 and 1135680, that multiplied together give a square (119246400 = 10920²).

The spelling of 1051135680 in words is "one billion, fifty-one million, one hundred thirty-five thousand, six hundred eighty".