1956918412201 has 9 divisors (see below), whose sum is σ = 1984196277399. Its totient is φ = 1930010589936.

The previous prime is 1956918412181. The next prime is 1956918412213. The reversal of 1956918412201 is 1022148196591.

The square root of 1956918412201 is 1398899.

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., 1110842221225 + 846076190976 = 1053965^2 + 919824^2 .

It is not a de Polignac number, because 1956918412201 - 2⁹ = 1956918411689 is a prime.

It is a super-2 number, since 2×1956918412201² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1956918412291) 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, 102110046 + ... + 102129208.

Almost surely, 2^{1956918412201} is an apocalyptic number.

1956918412201 is the 1398899-th square number.

1956918412201 is the 699450-th centered octagonal number.

It is an amenable number.

1956918412201 is a deficient number, since it is larger than the sum of its proper divisors (27277865198).

1956918412201 is an frugal number, since it uses more digits than its factorization.

1956918412201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38472 (or 19236 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 49.

Multiplying 1956918412201 by its sum of digits (49), we get a square (95889002197849 = 9792293²).

The spelling of 1956918412201 in words is "one trillion, nine hundred fifty-six billion, nine hundred eighteen million, four hundred twelve thousand, two hundred one".