1008028734031 has 16 divisors (see below), whose sum is σ = 1125212548608. Its totient is φ = 895176964800.

The previous prime is 1008028734023. The next prime is 1008028734073. The reversal of 1008028734031 is 1304378208001.

It is not a de Polignac number, because 1008028734031 - 2³ = 1008028734023 is a prime.

It is a super-2 number, since 2×1008028734031² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008028734091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1593630 + ... + 2134411.

It is an arithmetic number, because the mean of its divisors is an integer number (70325784288).

Almost surely, 2^{1008028734031} is an apocalyptic number.

1008028734031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1008028734031 is a deficient number, since it is larger than the sum of its proper divisors (117183814577).

1008028734031 is a wasteful number, since it uses less digits than its factorization.

1008028734031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728622.

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 1008028734031 in words is "one trillion, eight billion, twenty-eight million, seven hundred thirty-four thousand, thirty-one".