3137578085041 has 9 divisors (see below), whose sum is σ = 3157235656281. Its totient is φ = 3118042185732.

The previous prime is 3137578085009. The next prime is 3137578085087. The reversal of 3137578085041 is 1405808757313.

The square root of 3137578085041 is 1771321.

It is a perfect power (a square), and thus also a powerful number.

3137578085041 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3137578085041 - 2⁵ = 3137578085009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3137578085041.

It is not an unprimeable number, because it can be changed into a prime (3137578785041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 288719890 + ... + 288730756.

It is an arithmetic number, because the mean of its divisors is an integer number (350803961809).

Almost surely, 2^{3137578085041} is an apocalyptic number.

3137578085041 is the 1771321-st square number.

3137578085041 is the 885661-st centered octagonal number.

It is an amenable number.

3137578085041 is a deficient number, since it is larger than the sum of its proper divisors (19657571240).

3137578085041 is an frugal number, since it uses more digits than its factorization.

3137578085041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22060 (or 11030 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 52.

The spelling of 3137578085041 in words is "three trillion, one hundred thirty-seven billion, five hundred seventy-eight million, eighty-five thousand, forty-one".