2553006382969 has 81 divisors (see below), whose sum is σ = 3274404882957. Its totient is φ = 1984253660928.

The previous prime is 2553006382967. The next prime is 2553006382973. The reversal of 2553006382969 is 9692836003552.

The square root of 2553006382969 is 1597813.

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 252360546025 + 2300645836944 = 502355^2 + 1516788^2 .

It is not a de Polignac number, because 2553006382969 - 2¹ = 2553006382967 is a prime.

It is a super-2 number, since 2×2553006382969² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2553006382967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5514052432 + ... + 5514052894.

Almost surely, 2^{2553006382969} is an apocalyptic number.

2553006382969 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2553006382969 is the 1597813-rd square number.

2553006382969 is the 798907-th centered octagonal number.

It is an amenable number.

2553006382969 is a deficient number, since it is larger than the sum of its proper divisors (721398499988).

2553006382969 is an frugal number, since it uses more digits than its factorization.

2553006382969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 58.

The spelling of 2553006382969 in words is "two trillion, five hundred fifty-three billion, six million, three hundred eighty-two thousand, nine hundred sixty-nine".