20628151006725 has 36 divisors (see below), whose sum is σ = 36948792764676. Its totient is φ = 11001239159040.

The previous prime is 20628151006711. The next prime is 20628151006741. The reversal of 20628151006725 is 52760015182602.

20628151006725 is a `hidden beast` number, since 2 + 0 + 62 + 8 + 1 + 510 + 0 + 6 + 72 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 977850032769 + 19650300973956 = 988863^2 + 4432866^2 .

It is not a de Polignac number, because 20628151006725 - 2¹² = 20628151002629 is a prime.

It is a super-3 number, since 3×20628151006725³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3820299 + ... + 7473351.

Almost surely, 2^{20628151006725} is an apocalyptic number.

20628151006725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20628151006725 is a deficient number, since it is larger than the sum of its proper divisors (16320641757951).

20628151006725 is a wasteful number, since it uses less digits than its factorization.

20628151006725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678166 (or 3678158 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 20628151006725 in words is "twenty trillion, six hundred twenty-eight billion, one hundred fifty-one million, six thousand, seven hundred twenty-five".