57001190409 has 24 divisors (see below), whose sum is σ = 83209955400. Its totient is φ = 37597996800.

The previous prime is 57001190401. The next prime is 57001190419. The reversal of 57001190409 is 90409110075.

It can be written as a sum of positive squares in 4 ways, for example, as 32425925184 + 24575265225 = 180072^2 + 156765^2 .

It is not a de Polignac number, because 57001190409 - 2³ = 57001190401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57001190401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 646237 + ... + 729125.

It is an arithmetic number, because the mean of its divisors is an integer number (3467081475).

Almost surely, 2^57001190409 is an apocalyptic number.

It is an amenable number.

57001190409 is a deficient number, since it is larger than the sum of its proper divisors (26208764991).

57001190409 is a wasteful number, since it uses less digits than its factorization.

57001190409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83705 (or 83702 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 57001190409 in words is "fifty-seven billion, one million, one hundred ninety thousand, four hundred nine".