25305555505251 has 16 divisors (see below), whose sum is σ = 38677344520448. Its totient is φ = 14416630668000.

The previous prime is 25305555505159. The next prime is 25305555505259. The reversal of 25305555505251 is 15250555550352.

It is not a de Polignac number, because 25305555505251 - 2¹³ = 25305555497059 is a prime.

It is a super-2 number, since 2×25305555505251² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 25305555505251.

It is not an unprimeable number, because it can be changed into a prime (25305555505259) 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, 1820274700 + ... + 1820288601.

It is an arithmetic number, because the mean of its divisors is an integer number (2417334032528).

Almost surely, 2^{25305555505251} is an apocalyptic number.

25305555505251 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

25305555505251 is a deficient number, since it is larger than the sum of its proper divisors (13371789015197).

25305555505251 is a wasteful number, since it uses less digits than its factorization.

25305555505251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640563642.

The product of its (nonzero) digits is 4687500, while the sum is 48.

The spelling of 25305555505251 in words is "twenty-five trillion, three hundred five billion, five hundred fifty-five million, five hundred five thousand, two hundred fifty-one".