2551721100051 has 16 divisors (see below), whose sum is σ = 3634816131200. Its totient is φ = 1587559393728.

The previous prime is 2551721099999. The next prime is 2551721100059. The reversal of 2551721100051 is 1500011271552.

It is not a de Polignac number, because 2551721100051 - 2⁶ = 2551721099987 is a prime.

It is a super-2 number, since 2×2551721100051² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2551721099991 and 2551721100018.

It is not an unprimeable number, because it can be changed into a prime (2551721100059) 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, 334078546 + ... + 334086183.

It is an arithmetic number, because the mean of its divisors is an integer number (227176008200).

Almost surely, 2^{2551721100051} is an apocalyptic number.

2551721100051 is a deficient number, since it is larger than the sum of its proper divisors (1083095031149).

2551721100051 is a wasteful number, since it uses less digits than its factorization.

2551721100051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668164818.

The product of its (nonzero) digits is 3500, while the sum is 30.

The spelling of 2551721100051 in words is "two trillion, five hundred fifty-one billion, seven hundred twenty-one million, one hundred thousand, fifty-one".