1251823084801 has 27 divisors (see below), whose sum is σ = 1330284248059. Its totient is φ = 1177924227200.

The previous prime is 1251823084777. The next prime is 1251823084847. The reversal of 1251823084801 is 1084803281521.

The square root of 1251823084801 is 1118849.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1090669011201 + 161154073600 = 1044351^2 + 401440^2 .

It is not a de Polignac number, because 1251823084801 - 2⁵ = 1251823084769 is a prime.

It is a super-2 number, since 2×1251823084801² (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 (1251823084601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1330310991 + ... + 1330311931.

Almost surely, 2^{1251823084801} is an apocalyptic number.

1251823084801 is the 1118849-th square number.

1251823084801 is the 559425-th centered octagonal number.

It is an amenable number.

1251823084801 is a deficient number, since it is larger than the sum of its proper divisors (78461163258).

1251823084801 is an frugal number, since it uses more digits than its factorization.

1251823084801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 43.

The spelling of 1251823084801 in words is "one trillion, two hundred fifty-one billion, eight hundred twenty-three million, eighty-four thousand, eight hundred one".