2551656561552 has 320 divisors, whose sum is σ = 8459374993920. Its totient is φ = 721315584000.

The previous prime is 2551656561551. The next prime is 2551656561557.

2551656561552 is a `hidden beast` number, since 2 + 5 + 5 + 16 + 5 + 6 + 5 + 615 + 5 + 2 = 666.

2551656561552 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2551656561552² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2551656561551) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 712552402 + ... + 712555982.

It is an arithmetic number, because the mean of its divisors is an integer number (26435546856).

Almost surely, 2^{2551656561552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2551656561552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4229687496960).

2551656561552 is an abundant number, since it is smaller than the sum of its proper divisors (5907718432368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2551656561552 is a wasteful number, since it uses less digits than its factorization.

2551656561552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6039 (or 6027 counting only the distinct ones).

The product of its digits is 13500000, while the sum is 54.

The spelling of 2551656561552 in words is "two trillion, five hundred fifty-one billion, six hundred fifty-six million, five hundred sixty-one thousand, five hundred fifty-two".