2451883090801 has 9 divisors (see below), whose sum is σ = 2461454639553. Its totient is φ = 2442348636240.

The previous prime is 2451883090771. The next prime is 2451883090807. The reversal of 2451883090801 is 1080903881542.

It is a happy number.

The square root of 2451883090801 is 1565849.

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

It can be written as a sum of positive squares in 4 ways, for example, as 29377617201 + 2422505473600 = 171399^2 + 1556440^2 .

It is not a de Polignac number, because 2451883090801 - 2⁷ = 2451883090673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2451883090807) 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, 421210471 + ... + 421216291.

Almost surely, 2^{2451883090801} is an apocalyptic number.

2451883090801 is the 1565849-th square number.

2451883090801 is the 782925-th centered octagonal number.

It is an amenable number.

2451883090801 is a deficient number, since it is larger than the sum of its proper divisors (9571548752).

2451883090801 is an frugal number, since it uses more digits than its factorization.

2451883090801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12180 (or 6090 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

Multiplying 2451883090801 by its sum of digits (49), we get a square (120142271449249 = 10960943²).

The spelling of 2451883090801 in words is "two trillion, four hundred fifty-one billion, eight hundred eighty-three million, ninety thousand, eight hundred one".