1951662086361 has 81 divisors (see below), whose sum is σ = 3089599166199. Its totient is φ = 1186639114752.

The previous prime is 1951662086347. The next prime is 1951662086389. The reversal of 1951662086361 is 1636802661591.

The square root of 1951662086361 is 1397019.

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

1951662086361 is a `hidden beast` number, since 1 + 9 + 5 + 1 + 6 + 620 + 8 + 6 + 3 + 6 + 1 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 939513411225 + 1012148675136 = 969285^2 + 1006056^2 .

It is not a de Polignac number, because 1951662086361 - 2¹⁷ = 1951661955289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1951662086298 and 1951662086307.

It is not an unprimeable number, because it can be changed into a prime (1951662086321) 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, 6156662575 + ... + 6156662891.

Almost surely, 2^{1951662086361} is an apocalyptic number.

1951662086361 is the 1397019-th square number.

1951662086361 is the 698510-th centered octagonal number.

It is an amenable number.

1951662086361 is a deficient number, since it is larger than the sum of its proper divisors (1137937079838).

1951662086361 is an equidigital number, since it uses as much as digits as its factorization.

1951662086361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 1951662086361 in words is "one trillion, nine hundred fifty-one billion, six hundred sixty-two million, eighty-six thousand, three hundred sixty-one".