1008057349 has 8 divisors (see below), whose sum is σ = 1120620032. Its totient is φ = 900497520.

The previous prime is 1008057319. The next prime is 1008057359. The reversal of 1008057349 is 9437508001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1008057349 - 2⁷ = 1008057221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008057319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1250289 + ... + 1251094.

It is an arithmetic number, because the mean of its divisors is an integer number (140077504).

Almost surely, 2^1008057349 is an apocalyptic number.

It is an amenable number.

1008057349 is a deficient number, since it is larger than the sum of its proper divisors (112562683).

1008057349 is a wasteful number, since it uses less digits than its factorization.

1008057349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501427.

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 1008057349 is about 31749.9188817861. The cubic root of 1008057349 is about 1002.6786016868.

The spelling of 1008057349 in words is "one billion, eight million, fifty-seven thousand, three hundred forty-nine".