3957119541001 has 27 divisors (see below), whose sum is σ = 4376885668533. Its totient is φ = 3574922757120.

The previous prime is 3957119540993. The next prime is 3957119541059. The reversal of 3957119541001 is 1001459117593.

The square root of 3957119541001 is 1989251.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2133647411401 + 1823472129600 = 1460701^2 + 1350360^2 .

It is not a de Polignac number, because 3957119541001 - 2³ = 3957119540993 is a prime.

It is a super-3 number, since 3×3957119541001³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3957119541061) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4223179405 + ... + 4223180341.

Almost surely, 2^{3957119541001} is an apocalyptic number.

3957119541001 is the 1989251-st square number.

3957119541001 is the 994626-th centered octagonal number.

It is an amenable number.

3957119541001 is a deficient number, since it is larger than the sum of its proper divisors (419766127532).

3957119541001 is an frugal number, since it uses more digits than its factorization.

3957119541001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 46.

The spelling of 3957119541001 in words is "three trillion, nine hundred fifty-seven billion, one hundred nineteen million, five hundred forty-one thousand, one".