1951723706401 has 12 divisors (see below), whose sum is σ = 2273574733140. Its totient is φ = 1670546475360.

The previous prime is 1951723706381. The next prime is 1951723706407. The reversal of 1951723706401 is 1046073271591.

It can be written as a sum of positive squares in 2 ways, for example, as 518378400225 + 1433345306176 = 719985^2 + 1197224^2 .

It is not a de Polignac number, because 1951723706401 - 2¹³ = 1951723698209 is a prime.

It is a super-2 number, since 2×1951723706401² (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 (1951723706407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28054890 + ... + 28124371.

It is an arithmetic number, because the mean of its divisors is an integer number (189464561095).

Almost surely, 2^{1951723706401} is an apocalyptic number.

It is an amenable number.

1951723706401 is a deficient number, since it is larger than the sum of its proper divisors (321851026739).

1951723706401 is an equidigital number, since it uses as much as digits as its factorization.

1951723706401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56179984 (or 56179977 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 46.

Adding to 1951723706401 its reverse (1046073271591), we get a palindrome (2997796977992).

The spelling of 1951723706401 in words is "one trillion, nine hundred fifty-one billion, seven hundred twenty-three million, seven hundred six thousand, four hundred one".