1935857605201 has 81 divisors (see below), whose sum is σ = 2282427655227. Its totient is φ = 1640903715360.

The previous prime is 1935857605153. The next prime is 1935857605219. The reversal of 1935857605201 is 1025067585391.

It is a happy number.

The square root of 1935857605201 is 1391351.

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

It can be written as a sum of positive squares in only one way, i.e., 286369468225 + 1649488136976 = 535135^2 + 1284324^2 .

It is not a de Polignac number, because 1935857605201 - 2¹¹ = 1935857603153 is a prime.

It is a super-2 number, since 2×1935857605201² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1935857605001) 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, 14777538906 + ... + 14777539036.

Almost surely, 2^{1935857605201} is an apocalyptic number.

1935857605201 is the 1391351-st square number.

1935857605201 is the 695676-th centered octagonal number.

It is an amenable number.

1935857605201 is a deficient number, since it is larger than the sum of its proper divisors (346570050026).

1935857605201 is an equidigital number, since it uses as much as digits as its factorization.

1935857605201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 52.

The spelling of 1935857605201 in words is "one trillion, nine hundred thirty-five billion, eight hundred fifty-seven million, six hundred five thousand, two hundred one".