1957903361001 has 81 divisors (see below), whose sum is σ = 3440252089911. Its totient is φ = 1069788956544.

The previous prime is 1957903360999. The next prime is 1957903361003. The reversal of 1957903361001 is 1001633097591.

It is a happy number.

The square root of 1957903361001 is 1399251.

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

1957903361001 is a `hidden beast` number, since 19 + 579 + 0 + 3 + 3 + 61 + 0 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1957903360999) and next prime (1957903361003).

It can be written as a sum of positive squares in only one way, i.e., 221770355625 + 1736133005376 = 470925^2 + 1317624^2 .

It is not a de Polignac number, because 1957903361001 - 2¹ = 1957903360999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1957903361003) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 675836785 + ... + 675839681.

Almost surely, 2^{1957903361001} is an apocalyptic number.

1957903361001 is the 1399251-st square number.

1957903361001 is the 699626-th centered octagonal number.

It is an amenable number.

1957903361001 is a deficient number, since it is larger than the sum of its proper divisors (1482348728910).

1957903361001 is an frugal number, since it uses more digits than its factorization.

1957903361001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5860 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The spelling of 1957903361001 in words is "one trillion, nine hundred fifty-seven billion, nine hundred three million, three hundred sixty-one thousand, one".