1290948167601 has 9 divisors (see below), whose sum is σ = 1864707832299. Its totient is φ = 860629839336.

The previous prime is 1290948167557. The next prime is 1290948167609. The reversal of 1290948167601 is 1067618490921.

The square root of 1290948167601 is 1136199.

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

1290948167601 is a `hidden beast` number, since 1 + 2 + 90 + 9 + 481 + 6 + 76 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 434353493025 + 856594674576 = 659055^2 + 925524^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1290948167601 - 2⁷ = 1290948167473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1290948167609) 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, 3219231 + ... + 3597963.

Almost surely, 2^{1290948167601} is an apocalyptic number.

1290948167601 is the 1136199-th square number.

1290948167601 is the 568100-th centered octagonal number.

It is an amenable number.

1290948167601 is a deficient number, since it is larger than the sum of its proper divisors (573759664698).

1290948167601 is an frugal number, since it uses more digits than its factorization.

1290948167601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757472 (or 378736 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 1290948167601 in words is "one trillion, two hundred ninety billion, nine hundred forty-eight million, one hundred sixty-seven thousand, six hundred one".