2051652125952 has 1296 divisors, whose sum is σ = 7357267689408. Its totient is φ = 565187051520.

The previous prime is 2051652125947. The next prime is 2051652125987. The reversal of 2051652125952 is 2595212561502.

2051652125952 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 6 + 52 + 1 + 2 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×2051652125952² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2051652125898 and 2051652125907.

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 143 ways as a sum of consecutive naturals, for example, 13067847858 + ... + 13067848014.

Almost surely, 2^{2051652125952} is an apocalyptic number.

2051652125952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2051652125952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678633844704).

2051652125952 is an abundant number, since it is smaller than the sum of its proper divisors (5305615563456).

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

2051652125952 is a wasteful number, since it uses less digits than its factorization.

2051652125952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 2051652125952 in words is "two trillion, fifty-one billion, six hundred fifty-two million, one hundred twenty-five thousand, nine hundred fifty-two".