2551677342553 has 16 divisors (see below), whose sum is σ = 2711994339600. Its totient is φ = 2392508307456.

The previous prime is 2551677342517. The next prime is 2551677342559. The reversal of 2551677342553 is 3552437761552.

It can be written as a sum of positive squares in 8 ways, for example, as 284495689 + 2551392846864 = 16867^2 + 1597308^2 .

It is a cyclic number.

It is not a de Polignac number, because 2551677342553 - 2¹⁷ = 2551677211481 is a prime.

It is a super-2 number, since 2×2551677342553² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2551677342494 and 2551677342503.

It is not an unprimeable number, because it can be changed into a prime (2551677342559) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6312475 + ... + 6704527.

It is an arithmetic number, because the mean of its divisors is an integer number (169499646225).

Almost surely, 2^{2551677342553} is an apocalyptic number.

It is an amenable number.

2551677342553 is a deficient number, since it is larger than the sum of its proper divisors (160316997047).

2551677342553 is a wasteful number, since it uses less digits than its factorization.

2551677342553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393516.

The product of its digits is 26460000, while the sum is 55.

The spelling of 2551677342553 in words is "two trillion, five hundred fifty-one billion, six hundred seventy-seven million, three hundred forty-two thousand, five hundred fifty-three".